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Puzzling Transformations Bundle Art Activities with Translations, Reflections, Rotations & Dilations Common Core ~ 8.G.A.3 RockinMiddle School Math

Bundle - 7TH & 8TH GRADE MATH WITH MS. MAGUIRE 2019-2020mathwithmsmaguire.weebly.com/uploads/2/3/1/6/23162192/6.0... · Describe the effect of dilations, translations, rotations and

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Page 1: Bundle - 7TH & 8TH GRADE MATH WITH MS. MAGUIRE 2019-2020mathwithmsmaguire.weebly.com/uploads/2/3/1/6/23162192/6.0... · Describe the effect of dilations, translations, rotations and

Puzzling Transformations

Bundle Art Activities with

Translations, Reflections,

Rotations & Dilations

Common Core ~ 8.G.A.3

Rockin’ Middle School Math

Page 2: Bundle - 7TH & 8TH GRADE MATH WITH MS. MAGUIRE 2019-2020mathwithmsmaguire.weebly.com/uploads/2/3/1/6/23162192/6.0... · Describe the effect of dilations, translations, rotations and

Puzzling

Transformations

Objective: 8.G.A.3

Describe the effect of dilations, translations, rotations and

reflections on two-dimensional figures using coordinates.

Puzzle # 1: 2-step Translations

Puzzle # 2: Reflections over the x-axis and the y-axis.

Puzzle # 3: Reflections and Translations (1 and 2-steps)

Puzzle # 4: Rotations Clockwise and Counter-Clockwise about

the Origin, including 90°, 180°, and 270°

Puzzle # 5: Translations, Reflections, and Rotations

(1 and 2-steps)

Puzzle # 6: Dilations about the Origin

Puzzle # 7: All 4 types of transformations (1-step only)

Puzzle # 8: All 4 types of transformations (2-steps)

Page 3: Bundle - 7TH & 8TH GRADE MATH WITH MS. MAGUIRE 2019-2020mathwithmsmaguire.weebly.com/uploads/2/3/1/6/23162192/6.0... · Describe the effect of dilations, translations, rotations and

Transformation Puzzles Objective:

8.G.A.3 – Describe the effect of dilations, translations, rotations and reflections on two-

dimensional figures using coordinates.

Materials:

One copy of student worksheet per student

One copy of 4 quadrant coordinate plane

Colored pencils, markers or crayons

One ruler per student

Procedure:

Students should use the rules for the different transformations described on each

worksheet and then plot the resulting points on the coordinate plane. I have

attached a cheat sheet giving the rules for each type of transformation if you feel

that the students could benefit from it.

Students will then use a ruler to connect the points to make each figure.

Students can color their picture when all of the pieces are complete. They can add

other drawings/objects to the picture to decorate it nicely.

None of the transformations will overlap, so if a student has two images overlapping,

he/she made a mistake.

Alternate Ideas:

Students could plot and connect the Pre-Image points on another sheet of graph

paper. They could then manually complete the transformations.

Plot and connect the Pre-Image points on another sheet of graph paper, cut them out,

and use them to manually transform the figures on another sheet of graph paper.

The Pre-Image points could be plotted and connected on a graph dry erase board.

The students could then transform them on the board and copy them on to graph

paper.

Page 4: Bundle - 7TH & 8TH GRADE MATH WITH MS. MAGUIRE 2019-2020mathwithmsmaguire.weebly.com/uploads/2/3/1/6/23162192/6.0... · Describe the effect of dilations, translations, rotations and

Name:_________________________ Date:__________________________

Puzzle # 1: Perform each transformation using the

given pre-image points. Plot the points of the new

image on the provided coordinate plane. Connect

the points in each problem to make a polygon. When

done, you may color your design.

1. Translate Pre Image coordinates left

6 units and down 15 units.

A (8, 17) B (8, 11) C (2, 11)

Post Image Coordinates:

A’ _______ B’ _______ C’ _______

2. Translate Pre Image coordinates right 8

units and up 7 units.

A (-6,-11) B (-12, -11) C (-12, -17)

Post Image Coordinates:

A’ _______ B’ _______ C’ _______

3. Translate Pre Image coordinates using

the rule (x + 18) and (y – 12).

A (-6, 15) B (-8, 7) C (-11, 12)

Post Image Coordinates:

A’ _______ B’ _______ C’ _______

4. Translate Pre Image coordinates using

the rule (x - 13) and (y + 21).

A (3, -5) B (10, -8) C (12, -13) D (5, -10)

Post Image Coordinates:

A’ _____B’_______C’_______ D’_______

5. Translate Pre Image coordinates left

9 units and down 1 unit.

A (11, 9) B (11, 3) C (5, 3) D (5, 9)

Post Image Coordinates:

A’ ______B’______C’______D’_______

6. Translate Pre Image coordinates right

14 units and up 13 units.

A (-12,3) B (-6, -3) C (-12, -9)

Post Image Coordinates:

A’ _______ B’ _______ C’ _______

7. Translate Pre Image coordinates using

the rule (x + 7) and (y + 2).

A (-5, 1) B (3, -7) C (-5, -15)

Post Image Coordinates:

A’ _______ B’ _______ C’ _______

8. Translate Pre Image coordinates using

the rule (x + 10) and (y – 19).

A (0, 14) B (0, 3) C (-11, 3)

Post Image Coordinates:

A’ _______ B’ _______ C’ _______

Page 5: Bundle - 7TH & 8TH GRADE MATH WITH MS. MAGUIRE 2019-2020mathwithmsmaguire.weebly.com/uploads/2/3/1/6/23162192/6.0... · Describe the effect of dilations, translations, rotations and

Translations: Rabbit

1. Translate Pre Image coordinates

left 6 units and down 15 units.

A (8, 17) B (8, 11) C (2, 11)

Post Image Coordinates:

A’ (2, 2) B’ (2, -4) C’ (-4, -4)

2. Translate Pre Image coordinates

right 8 units and up 7 units.

A (-6,-11) B (-12, -11) C (-12, -17)

Post Image Coordinates:

A’ (2, -4) B’ (-4, -4) C’ (-4, -10)

3. Translate Pre Image coordinates

using the rule (x + 18) and (y – 12).

A (-6, 15) B (-8, 7) C (-11, 12)

Post Image Coordinates:

A’ (12, 3) B’ (10, -5) C’ (7, 0)

4. Translate Pre Image coordinates

using the rule (x - 13) and (y + 21).

A (3, -5) B (10, -8) C (12, -13) D (5, -10)

Post Image Coordinates: A’ (-10, 16) B’ (-3, 13) C’ (-1, 8) D’ (-8, 11)

5. Translate Pre Image coordinates

left 9 units and down 1 unit.

A (11, 9) B (11, 3) C (5, 3) D (5, 9)

Post Image Coordinates:

A’ (2, 8) B’ (2, 2) C’ (-4, 2) D’ (-4, 8)

6. Translate Pre Image coordinates

right 14 units and up 13 units.

A (-12,3) B (-6, -3) C (-12, -9)

Post Image Coordinates:

A’ (2, 16) B’ (8, 10) C’ (2, 4)

7. Translate Pre Image coordinates

using the rule (x + 7) and (y + 2).

A (-5, 1) B (3, -7) C (-5, -15)

Post Image Coordinates:

A’ (2, 3) B’ (10, -5) C’ (2, -13)

8. Translate Pre Image coordinates

using the rule (x + 10) and (y – 19).

A (0, 14) B (0, 3) C (-11, 3)

Post Image Coordinates:

A’ (10, -5) B’ (10, -16) C’ (-1, -16)

Puzzle # 1: Key

Page 6: Bundle - 7TH & 8TH GRADE MATH WITH MS. MAGUIRE 2019-2020mathwithmsmaguire.weebly.com/uploads/2/3/1/6/23162192/6.0... · Describe the effect of dilations, translations, rotations and
Page 7: Bundle - 7TH & 8TH GRADE MATH WITH MS. MAGUIRE 2019-2020mathwithmsmaguire.weebly.com/uploads/2/3/1/6/23162192/6.0... · Describe the effect of dilations, translations, rotations and

Name:_________________________ Date:__________________________

Puzzle # 2: Perform each transformation using

the given pre-image points. Plot the points of the

new image on the provided coordinate plane.

Connect the points in each problem to make a

polygon. When done, you may color your design.

1. Reflect Pre Image coordinates over

the y axis.

A (6, 16) B (8, 12) C (12, 14)

Post Image Coordinates:

A’________ B’________ C’________

2. Reflect Pre Image coordinates over

the x axis.

A (-1, -17) B (0, -12) C (-5, -11) D (-6, -16)

Post Image Coordinates:

A’______ B’______ C’______ D’_______

3. Reflect Pre Image coordinates over

the x axis.

A (-4, -11) B (6, -11) C (-4, -1)

Post Image Coordinates:

A’________ B’________ C’________

4. Reflect Pre Image coordinates over

the y axis.

A (0, 5) B (0, -5) C (10, -5)

Post Image Coordinates:

A’________ B’________ C’________

5. Reflect Pre Image coordinates over

the x and then the y axis.

A (7, 5) B (12, 10) C (12, 5)

Post Image Coordinates:

A’________ B’________ C’________

6. Reflect Pre Image coordinates over

the x and then the y axis.

A (0, -3) B (-6, 3) C (0, 9)

Post Image Coordinates:

A’________ B’________ C’________

7. Reflect Pre Image coordinates over

the y axis.

A (-9, 9) B (-5, 5) C (0, 5) D (-4, 9)

Post Image Coordinates:

A’______ B’______ C’______ D’______

8. Reflect Pre Image coordinates over

the x axis.

A (1, 8) B (1, 14) C (-2, 11)

Post Image Coordinates:

A’________ B’________ C’________

Page 8: Bundle - 7TH & 8TH GRADE MATH WITH MS. MAGUIRE 2019-2020mathwithmsmaguire.weebly.com/uploads/2/3/1/6/23162192/6.0... · Describe the effect of dilations, translations, rotations and

Reflections: Dancer

1. Reflect Pre Image coordinates over

the y axis.

A (6, 16) B (8, 12) C (12, 14)

Post Image Coordinates:

A’ (-6, 16) B’ (-8, 12) C’ (-12, 14)

2. Reflect Pre Image coordinates over

the x axis.

A (-1, -17) B (0, -12) C (-5, -11) D (-6, -16)

Post Image Coordinates: A’ (-1, 17) B’ (0, 12) C’ (-5, 11) D’ (-6, 16)

3. Reflect Pre Image coordinates over

the x axis.

A (-4, -11) B (6, -11) C (-4, -1)

Post Image Coordinates:

A’ (-4, 11) B’ (6, 11) C’ (-4, 1)

4. Reflect Pre Image coordinates over

the y axis.

A (0, 5) B (0, -5) C (10, -5)

Post Image Coordinates:

A’ (0, 5) B’ (0, -5) C’ (-10, -5)

5. Reflect Pre Image coordinates over

the x and then the y axis.

A (7, 5) B (12, 10) C (12, 5)

Post Image Coordinates:

A’ (-7, -5) B’ (-12, -10) C’ (-12, -5)

6. Reflect Pre Image coordinates over

the x and then the y axis.

A (0, -3) B (-6, 3) C (0, 9)

Post Image Coordinates:

A’ (0, 3) B’ (6, -3) C’ (0, -9)

7. Reflect Pre Image coordinates over

the y axis.

A (-9, 9) B (-5, 5) C (0, 5) D (-4, 9)

Post Image Coordinates: A’ (9, 9) B’ (5, 5) C’ (0, 5) D’ (4, 9)

8. Reflect Pre Image coordinates over

the x axis.

A (1, 8) B (1, 14) C (-2, 11)

Post Image Coordinates:

A’ (1, -8) B’ (1, -14) C’ (-2, -11)

Puzzle # 2: Key

Page 9: Bundle - 7TH & 8TH GRADE MATH WITH MS. MAGUIRE 2019-2020mathwithmsmaguire.weebly.com/uploads/2/3/1/6/23162192/6.0... · Describe the effect of dilations, translations, rotations and
Page 10: Bundle - 7TH & 8TH GRADE MATH WITH MS. MAGUIRE 2019-2020mathwithmsmaguire.weebly.com/uploads/2/3/1/6/23162192/6.0... · Describe the effect of dilations, translations, rotations and

Name:_________________________ Date:__________________________

Puzzle # 3: Perform each transformation using

the given pre-image points. Plot the points of the

new image on the provided coordinate plane.

Connect the points in each problem to make a

polygon. When done, you may color your design.

1. Reflect Pre Image coordinates over

the y axis.

A (2, 15) B (6, 11) C (10, 15)

Post Image Coordinates:

A’ ________ B’ ________ C’ ________

2. Reflect Pre Image coordinates over the

x axis, and then translate 2 units left.

A (0, -7) B (3, -4) C (0, -1) D (-3, -4)

Post Image Coordinates:

A’______B’______ C’_______ D’_______

3. Translate Pre Image coordinates using

the rule (x - 11), then reflect over the

x axis.

A (8, 0) B (-1, 9) C (-1, 0)

Post Image Coordinates:

A’ ________ B’ ________ C’ ________

4. Reflect Pre Image coordinates over the

y axis, and then translate 15 units up.

A (-11, -1) B (-2, -10) C (-2, -1)

Post Image Coordinates:

A’ ________ B’ ________ C’ ________

5. Translate Pre Image coordinates left 9

units, and then reflect over the y axis.

A (1, 4) B (1, -2) C (7, -2)

Post Image Coordinates:

A’ _______ B’ ________ C’ ________

6. Translate Pre Image coordinates right

3 units and up 10 units.

A (-1,-5) B (-1, -15) C (-6, -10)

Post Image Coordinates:

A’ ________ B’ ________ C’ ________

7. Translate Pre Image coordinates using

the rule (y - 2), then reflect over the y

axis.

A (-2, 0) B (-8, -6) C (-2, -6)

Post Image Coordinates:

A’ ________ B’ ________ C’ ________

8. Reflect Pre Image coordinates over the

x, and then reflect over the y axis.

A (2, -15) B (2, -7) C (5, -4) D (5, -12)

Post Image Coordinates:

A’______B’______ C’_______ D’_______

Page 11: Bundle - 7TH & 8TH GRADE MATH WITH MS. MAGUIRE 2019-2020mathwithmsmaguire.weebly.com/uploads/2/3/1/6/23162192/6.0... · Describe the effect of dilations, translations, rotations and

Translations and Reflections: Bird

1. Reflect Pre Image coordinates over

the y axis.

A (2, 15) B (6, 11) C (10, 15)

Post Image Coordinates:

A’ (-2, 15) B’ (-6, 11) C’ (-10, 15)

2. Reflect Pre Image coordinates over

the x axis, and then translate 2

units left. A (0, -7) B (3, -4) C (0, -1) D (-3, -4)

Post Image Coordinates: A’ (-2, 7) B’ (1, 4) C’ (-2, 1) D’ (-5, 4)

3. Translate Pre Image coordinates

using the rule (x - 11), then reflect

over the x axis.

A (8, 0) B (-1, 9) C (-1, 0)

Post Image Coordinates:

A’ (-3, 0) B’ (-12, -9) C’ (-12, 0)

4. Reflect Pre Image coordinates over

the y axis, and then translate 15

units up.

A (-11, -1) B (-2, -10) C (-2, -1)

Post Image Coordinates:

A’ (11, 14) B’ (2, 5) C’ (2, 14)

5. Translate Pre Image coordinates

left 9 units, and then reflect over

the y axis.

A (1, 4) B (1, -2) C (7, -2)

Post Image Coordinates:

A’ (8, 4) B’ (8, -2) C’ (2, -2)

6. Translate Pre Image coordinates

right 3 units and up 10 units.

A (-1,-5) B (-1, -15) C (-6, -10)

Post Image Coordinates:

A’ (2, 5) B’ (2, -5) C’ (-3, 0)

7. Translate Pre Image coordinates

using the rule (y - 2), then reflect

over the y axis.

A (-2, 0) B (-8, -6) C (-2, -6)

Post Image Coordinates:

A’ (2, -2) B’ (8, -8) C’ (2, -8)

8. Reflect Pre Image coordinates over

the x, and then reflect over the y

axis. A (2, -15) B (2, -7) C (5, -4) D (5, -12)

Post Image Coordinates: A’ (-2, 15) B’ (-2, 7) C’ (-5, 4) D’ (-5, 12)

Puzzle # 3:

Key

Page 12: Bundle - 7TH & 8TH GRADE MATH WITH MS. MAGUIRE 2019-2020mathwithmsmaguire.weebly.com/uploads/2/3/1/6/23162192/6.0... · Describe the effect of dilations, translations, rotations and
Page 13: Bundle - 7TH & 8TH GRADE MATH WITH MS. MAGUIRE 2019-2020mathwithmsmaguire.weebly.com/uploads/2/3/1/6/23162192/6.0... · Describe the effect of dilations, translations, rotations and

Name:_________________________ Date:__________________________

Puzzle # 4: Perform each transformation using

the given pre-image points. Plot the points of the

new image on the provided coordinate plane.

Connect the points in each problem to make a

polygon. When done, you may color your design.

1. Rotate 90° Clockwise about the origin.

A (-4, 7) B (3, 0) C (-4, -7)

Post Image Coordinates:

A’ ________ B’ ________ C’ ________

2. Rotate 90° Counterclockwise about the

origin. A (-7, 0) B (-15, -8) C (-15, 8)

Post Image Coordinates:

A’ ________ B’ ________ C’ ________

3. Rotate 90° Clockwise about the origin.

A (3, 0) B (7, 0) C (3, -5) D (-2, -5)

Post Image Coordinates:

A’______B’______ C’_______ D’______

4. Rotate 180° Counterclockwise about the

origin.

A (1, -17) B (-2, -12) C (0, -9) D (3, -14)

Post Image Coordinates:

A’______B’______ C’_______ D’_______

5. Rotate 270° Clockwise about the

origin.

A (-3, -5) B (-12, -5) C (-7, 0)

Post Image Coordinates:

A’ ________ B’ ________ C’ ________

6. Rotate 90° Counterclockwise about the

origin.

A (-7, 0) B (-12, 5) C (-3, 5)

Post Image Coordinates:

A’ ________ B’ ________ C’ ________

7. Rotate 90° Counterclockwise about the

origin.

A (9, -3) B (4, -3) C (4, 3) D (9, 3)

Post Image Coordinates:

A’______B’______ C’_______ D’______

8. Rotate 180° Clockwise about the origin.

A (-5, -2) B (-5, 3) C (0, 7) D (0, 3)

Post Image Coordinates:

A’______B’______ C’_______ D’_______

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Rotations: Candle

1. Rotate 90° Clockwise about the origin.

A (-4, 7) B (3, 0) C (-4, -7)

Post Image Coordinates:

A’ (7,4) B’ (0, -3) C’ (-7, 4)

2. Rotate 90° Counterclockwise about the

origin. A (-7, 0) B (-15, -8) C (-15, 8)

Post Image Coordinates:

A’ (0, -7) B’ (8, -15) C’ (-8, -15)

3. Rotate 90° Clockwise about the origin.

A (3, 0) B (7, 0) C (3, -5) D (-2, -5)

Post Image Coordinates:

A’ (0, -3) B’ (0, -7) C’ (-5, -3) D’ (-5, 2)

4. Rotate 180° Counterclockwise about the

origin.

A (1, -17) B (-2, -12) C (0, -9) D (3, -14)

Post Image Coordinates:

A’ (-1, 17) B’ (2, 12) C’ (0, 9) D’ (-3, 14)

5. Rotate 270° Clockwise about the

origin.

A (-3, -5) B (-12, -5) C (-7, 0)

Post Image Coordinates:

A’ (5, -3) B’ (5, -12) C’ (0, -7)

6. Rotate 90° Counterclockwise about the

origin.

A (-7, 0) B (-12, 5) C (-3, 5)

Post Image Coordinates:

A’ (0, -7) B’ (-5, -12) C’ (-5, -3)

7. Rotate 90° Counterclockwise about the

origin.

A (9, -3) B (4, -3) C (4, 3) D (9, 3)

Post Image Coordinates:

A’ (3, 9) B’ (3, 4) C’ (-3, 4) D’ (-3, 9)

8. Rotate 180° Clockwise about the origin.

A (-5, -2) B (-5, 3) C (0, 7) D (0, 3)

Post Image Coordinates:

A’ (5, 2) B’ (5, -3) C’ (0, -7) D’ (0, -3)

Puzzle # 4: Key

Page 15: Bundle - 7TH & 8TH GRADE MATH WITH MS. MAGUIRE 2019-2020mathwithmsmaguire.weebly.com/uploads/2/3/1/6/23162192/6.0... · Describe the effect of dilations, translations, rotations and
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Name:_________________________ Date:__________________________

Puzzle # 5: Perform each transformation using

the given pre-image points. Plot the points of the

new image on the provided coordinate plane.

Connect the points in each problem to make a

polygon. When done, you may color your design.

1. Translate 5 units down and then

reflect across the x-axis.

A (-2, 12) B (9, 22) C (-2, 22)

Post Image Coordinates:

A’ _______ B’ _______ C’ _______

2. Reflect across the y-axis.

A (2, 7) B (5, 0) C (10, -2) D (7, 5)

Post Image Coordinates:

A’_____B’______ C’______ D’______

3. Translate Pre Image coordinates

right 9 units and up 2 units.

A (-8, 14) B (-10, 10) C (-13, 15)

Post Image Coordinates:

A’ _______ B’ ________ C’ _______

4. Rotate 270° clockwise about the

origin.

A (7, 2) B (0, -6) C (-7, 2)

Post Image Coordinates:

A’ _______ B’ ________ C’ _______

5. Reflect over the x-axis, and then

rotate 180° counter clockwise about

the origin.

A (2, 9) B (9, 5) C (7, 10)

Post Image Coordinates:

A’ ________ B’ ________ C’ ________

6. Rotate 90° clockwise about the

origin, and then reflect across the y-

axis. A (-12, 1) B (-11, -4) C (-6, -3) D (-7, 2)

Post Image Coordinates:

A’______B’______ C’_______ D’______

7. Reflect across the y-axis, and then

translate using the rule y + 8.

A (7, 9) B (2, 2) C (8, 3)

Post Image Coordinates:

A’ ________ B’ ________ C’ ________

8. Translate Pre Image left 4 units,

and then reflect across the x-axis.

A (10, 0) B (10, 14) C (2, 7)

Post Image Coordinates:

A’ ________ B’ ________ C’ ________

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Translations, Reflections, Rotations: Indian

1. Translate 5 units down and then

reflect across the x-axis.

A (-2, 12) B (9, 22) C (-2, 22)

Post Image Coordinates:

A’ (-2,-7) B’ (9, -17) C’ (-2, -17)

2. Reflect across the y-axis.

A (2, 7) B (5, 0) C (10, -2) D (7, 5)

Post Image Coordinates: A’ (-2, 7) B’ (-5, 0) C’ (-10, -2) D’ (-7, 5)

3. Translate Pre Image coordinates

right 9 units and up 2 units.

A (-8, 14) B (-10, 10) C (-13, 15)

Post Image Coordinates:

A’ (1, 16) B’ (-1, 12) C’ (-4, 17)

4. Rotate 270° clockwise about the

origin.

A (7, 2) B (0, -6) C (-7, 2)

Post Image Coordinates:

A’ (-2, 7) B’ (6, 0) C’ (-2, -7)

5. Reflect over the x-axis, and then

rotate 180° counter clockwise about

the origin.

A (2, 9) B (9, 5) C (7, 10)

Post Image Coordinates:

A’ (-2, 9) B’ (-9, 5) C’ (-7, 10)

6. Rotate 90° clockwise about the

origin, and then reflect across the y-

axis. A (-12, 1) B (-11, -4) C (-6, -3) D (-7, 2)

Post Image Coordinates:

A’ (-1, 12) B’ (4, 11) C’ (3, 6) D’ (-2, 7)

7. Reflect across the y-axis, and then

translate using the rule y + 8.

A (7, 9) B (2, 2) C (8, 3)

Post Image Coordinates:

A’ (-7, 17) B’ (-2, 10) C’ (-8, 11)

8. Translate Pre Image left 4 units,

and then reflect across the x-axis.

A (10, 0) B (10, 14) C (2, 7)

Post Image Coordinates:

A’ (6, 0) B’ (6, -14) C’ (-2, -7)

Puzzle # 5: Key

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Page 19: Bundle - 7TH & 8TH GRADE MATH WITH MS. MAGUIRE 2019-2020mathwithmsmaguire.weebly.com/uploads/2/3/1/6/23162192/6.0... · Describe the effect of dilations, translations, rotations and

Name:_________________________ Date:__________________________

Puzzle # 6: Perform each transformation using

the given pre-image points. Plot the points of the

new image on the provided coordinate plane.

Connect the points in each problem to make a

polygon. When done, you may color your design.

1. Dilate about the origin using a scale

factor of 2.

A (5.5, 4.5) B (6, 2) C (3.5, 1.5) D (3, 4)

Post Image Coordinates:

A’______B’______ C’_______ D’______

2. Dilate about the origin using a scale

factor of 𝟏 𝟏𝟑 .

A (11

2 , 12) B (-3, 6) C (-9, 9)

Post Image Coordinates:

A’ ________ B’ ________ C’ ________

3. Dilate about the origin using a scale

factor of 𝟏

𝟑 .

A (-12, 24) B (-30, 0) C (-36, 36)

Post Image Coordinates:

A’ ________ B’ ________ C’ ________

4. Dilate about the origin using a scale

factor of 𝟏

𝟐.

A (22, 4) B (8, -4) C (0, 10)

Post Image Coordinates:

A’ ________ B’ ________ C’ ________

5. Dilate about the origin using a scale

factor of 2.

A (3, -.5) B (3, -2.5) C (0, -4) D (0, -2)

Post Image Coordinates:

A’______B’______ C’_______ D’______

6. Dilate about the origin using a scale

factor of 4.

A (1, -1.5) B (2, -2.5) C (1, -3.5)

Post Image Coordinates:

A’ ________ B’ ________ C’ ________

7. Dilate about the origin using a scale

factor of 1.

A (0, -8) B (0, -14) C (-5, -14)

Post Image Coordinates:

A’ ________ B’ ________ C’ ________

8. Dilate about the origin using a scale

factor of .5

A (-8, 16) B (0, 10)

Post Image Coordinates:

A’ ________ B’ ________

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Dilations: Walking in the Rain w/ Umbrella

1. Dilate about the origin using a scale

factor of 2.

A (5.5, 4.5) B (6, 2) C (3.5, 1.5) D (3, 4)

Post Image Coordinates:

A’ (11, 9) B’ (12, 4) C’ (7,3) D’ (6, 8)

2. Dilate about the origin using a scale

factor of 11

3 .

A (11

2 , 12) B (-3, 6) C (-9, 9)

Post Image Coordinates:

A’ (2, 16) B’ (-4, 8) C’ (-12, 12)

3. Dilate about the origin using a scale

factor of 1

3 .

A (-12, 24) B (-30, 0) C (-36, 36)

Post Image Coordinates:

A’ (-4, 8) B’ (-10, 0) C’ (-12, 12)

4. Dilate about the origin using a scale

factor of 1

2.

A (22, 4) B (8, -4) C (0, 10)

Post Image Coordinates:

A’ (11, 2) B’ (4, -2) C’ (0, 5)

5. Dilate about the origin using a scale

factor of 2.

A (3, -.5) B (3, -2.5) C (0, -4) D (0, -2)

Post Image Coordinates:

A’ (6, -1) B’ (6, -5) C’ (0,-8) D’ (0,-4)

6. Dilate about the origin using a scale

factor of 4.

A (1, -1.5) B (2, -2.5) C (1, -3.5)

Post Image Coordinates:

A’ (4, -6) B’ (8, -10) C’ (4, -14)

7. Dilate about the origin using a scale

factor of 1.

A (0, -8) B (0, -14) C (-5, -14)

Post Image Coordinates:

A’ (0, -8) B’ (0, -14) C’ (-5, -14)

8. Dilate about the origin using a scale

factor of .5

A (-8, 16) B (0, 10)

Post Image Coordinates:

A’ (-4, 8) B’ (0, 5)

Puzzle # 6: Key

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Name:_________________________ Date:__________________________

Puzzle # 7: Perform each transformation using

the given pre-image points. Plot the points of the

new image on the provided coordinate plane.

Connect the points in each problem to make a

polygon. When done, you may color your design.

1. Dilate by a scale factor of 2.

A (-1/2, 2.5) B (-.5,- 5.5) C (-4, -1)

Post Image Coordinates:

A’ ________ B’ ________ C’ ________

2. Translate Pre Image coordinates

using the rule (y – 10).

A (9, 15) B (-1, 5) C (-1, 15)

Post Image Coordinates:

A’ ________ B’ ________ C’ _________

3. Reflect across the x-axis.

A (-1, 6) B (5, 14) C (-1, 14)

Post Image Coordinates:

A’ ________ B’ ________ C’ ________

4. Rotate 90° clockwise about the

origin. A (-2, 12) B (1, 9) C (1, 6) D (-2, 9)

Post Image Coordinates:

A’______B’______ C’_______ D’______

5. Translate 6 left, and 8 up.

A (11, 9) B (16, 3) C (5, 3)

Post Image Coordinates:

A’ ________ B’ ________ C’ ________

6. Rotate 90° counter clockwise about

the origin. A (-2, 8) B (-10, 6) C (-15, 9) D (-7, 11)

Post Image Coordinates:

A’______B’______ C’_______ D’______

7. Reflect across the y-axis.

A (-5, 11) B (-5, 5) C (1, 5) D (1, 11)

Post Image Coordinates:

A’______B’______ C’_______ D’______

8. Dilate about the origin by a scale

factor of 1/2.

A (18, 10) B (24, 4) C (12, 4)

Post Image Coordinates:

A’ ________ B’ ________ C’ ________

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Translations, Reflections, Rotations, Dilations: Horse

1. Dilate by a scale factor of 2.

A (-1/2, 2.5) B (-.5,- 5.5) C (-4, -1)

Post Image Coordinates:

A’ (-1, 5) B’ (-1, -11) C’ (-8, -2)

2. Translate Pre Image coordinates

using the rule (y – 10).

A (9, 15) B (-1, 5) C (-1, 15)

Post Image Coordinates:

A’ (9, 5) B’ (-1, -5) C’ (-1, 5)

3. Reflect across the x-axis.

A (-1, 6) B (5, 14) C (-1, 14)

Post Image Coordinates:

A’ (-1, -6) B’ (5, -14) C’ (-1, -14)

4. Rotate 90° clockwise about the

origin. A (-2, 12) B (1, 9) C (1, 6) D (-2, 9)

Post Image Coordinates:

A’ (12, 2) B’ (9, -1) C’ (6, -1) D’ (9, 2)

5. Translate 6 left, and 8 up.

A (11, 9) B (16, 3) C (5, 3)

Post Image Coordinates:

A’ (5, 17) B’ (10, 11) C’ (-1, 11)

6. Rotate 90° counter clockwise about

the origin. A (-2, 8) B (-10, 6) C (-15, 9) D (-7, 11)

Post Image Coordinates:

A’ (-8, -2) B’ (-6, -10) C’(-9, -15) D’ (-11, -7)

7. Reflect across the y-axis.

A (-5, 11) B (-5, 5) C (1, 5) D (1, 11)

Post Image Coordinates:

A’ (5, 11) B’ (5, 5) C’ (-1, 5) D’ (-1, 11)

8. Dilate about the origin by a scale

factor of 1/2.

A (18, 10) B (24, 4) C (12, 4)

Post Image Coordinates:

A’ (9, 5) B’ (12, 2) C’ (6, 2)

Puzzle # 7:

Key

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Name:_________________________ Date:__________________________

Puzzle # 8: Perform each transformation using

the given pre-image points. Plot the points of the

new image on the provided coordinate plane.

Connect the points in each problem to make a

polygon. When done, you may color your design.

1. Reflect over the x-axis, and then

dilate by a scale factor of 1/2.

A (-10, -10) B (6, 4) C (-10, 20)

Post Image Coordinates:

A’ ________ B’ ________ C’ ________

2. Rotate 90° clockwise about the

origin, and then dilate using a scale

factor of ¼.

A (16, 44) B (44, 32) C (24, 24)

Post Image Coordinates:

A’ ________ B’ ________ C’ ________

3. Translate Pre Image coordinates

using the rule (x - 3) and (y - 1).

A (-3, 12) B (-1, 7) C (-6, 5) D (-8, 10)

Post Image Coordinates:

A’______B’______ C’_______ D’______

4. Rotate 270° counter clockwise about

the origin, and then translate 7 units

up.

A (-6, -1) B (1, -4) C (-4, -6)

Post Image Coordinates:

A’ ________ B’ ________ C’ ________

5. Translate 4 left, and then reflect

over the y-axis.

A (1, -2) B (1, -13) C (12, -13)

Post Image Coordinates:

A’ ________ B’ ________ C’ ________

6. Translate 5 units down, and then

rotate 90° counter clockwise about

the origin.

A (-6, -1) B (-11, -3) C (-13, 2)

Post Image Coordinates:

A’ ________ B’ ________ C’ ________

7. Rotate 180° clockwise about the

origin, and then translate 6 units to

the right.

A (14, -16) B (12, -11) C (17, -9)

Post Image Coordinates:

A’ ________ B’ ________ C’ ________

8. Dilate about the origin by a scale

factor of 5.

A (-1, 1) B (-1, -1) C (-2, 0)

Post Image Coordinates:

A’ ________ B’ ________ C’ ________

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Mixed Transformations: Cat

1. Reflect over the x-axis, and then

dilate by a scale factor of 1/2.

A (-10, -10) B (6, 4) C (-10, 20)

Post Image Coordinates:

A’ (-5, 5) B’ (3, -2) C’ (-5, -10)

2. Rotate 90° clockwise about the

origin, and then dilate using a scale

factor of ¼.

A (16, 44) B (44, 32) C (24, 24)

Post Image Coordinates:

A’ (11, -4) B’ (8, -11) C’ (6, -6)

3. Translate Pre Image coordinates

using the rule (x - 3) and (y - 1).

A (-3, 12) B (-1, 7) C (-6, 5) D (-8, 10)

Post Image Coordinates: A’ (-6, 11) B’ (-4, 6) C’ (-9, 4) D’ (-11, 9)

4. Rotate 270° counter clockwise about

the origin, and then translate 7

units up.

A (-6, -1) B (1, -4) C (-4, -6)

Post Image Coordinates:

A’ (-1, 13) B’ (-4, 6) C’ (-6, 11)

5. Translate 4 left, and then reflect

over the y-axis.

A (1, -2) B (1, -13) C (12, -13)

Post Image Coordinates:

A’ (3, -2) B’ (3, -13) C’ (-8, -13)

6. Translate 5 units down, and then

rotate 90° counter clockwise about

the origin.

A (-6, -1) B (-11, -3) C (-13, 2)

Post Image Coordinates:

A’ (6, -6) B’ (8, -11) C’ (3, -13)

7. Rotate 180° clockwise about the

origin, and then translate 6 units to

the right.

A (14, -16) B (12, -11) C (17, -9)

Post Image Coordinates:

A’ (-8, 16) B’ (-6, 11) C’ (-11, 9)

8. Dilate about the origin by a scale

factor of 5.

A (-1, 1) B (-1, -1) C (-2, 0)

Post Image Coordinates:

A’ (-5, 5) B’ (-5, -5) C’ (-10, 0)

Puzzle # 8: Key

Page 27: Bundle - 7TH & 8TH GRADE MATH WITH MS. MAGUIRE 2019-2020mathwithmsmaguire.weebly.com/uploads/2/3/1/6/23162192/6.0... · Describe the effect of dilations, translations, rotations and
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Name:_________________________ Date:__________________________

Create your own design to give to a friend. Write directions for your transformation moves in each box. List the Pre-Image points. Your friend will write the answers in the space below Post Image Coordinates. Don’t forget to make an answer key.

1.

Post Image Coordinates:

2.

Post Image Coordinates:

3.

Post Image Coordinates:

4.

Post Image Coordinates:

5.

Post Image Coordinates:

6.

Post Image Coordinates:

7.

Post Image Coordinates:

8.

Post Image Coordinates:

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Name:_____________________________ Date:____________________

Geometric Transformations

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Cheat Sheet: Transformation Rules

1. Translations:

Right-Add to the x coordinate Up- Add to the y coordinate

Left-Subtract from the x coordinate Down- Subtract from the y coordinate

2. Reflections:

Reflecting over the x-axis: change the sign of the y coordinate to its opposite.

Reflecting over the y-axis: change the sign of the x coordinate to its opposite.

3. Rotations About the Origin:

90° 𝐂𝐥𝐨𝐜𝐤𝐰𝐢𝐬𝐞 − Swap the coordinates and change the sign of the new y

coordinate to its opposite.

90° 𝐂𝐨𝐮𝐧𝐭𝐞𝐫 − 𝐂𝐥𝐨𝐜𝐤𝐰𝐢𝐬𝐞 − Swap the coordinates and change the sign of the

new x coordinate to its opposite.

180° 𝐂𝐥𝐨𝐜𝐤𝐰𝐢𝐬𝐞 𝐨𝐫 𝐂𝐨𝐮𝐧𝐭𝐞𝐫 − 𝐂𝐥𝐨𝐜𝐤𝐰𝐢𝐬𝐞 − Do not swap coordinates, just

change the sign of both the x and y

coordinates to their opposites.

270° 𝐂𝐥𝐨𝐜𝐤𝐰𝐢𝐬𝐞 – Do the same as when you rotate 90° Counter-Clockwise.

270° 𝐂𝐨𝐮𝐧𝐭𝐞𝐫 − 𝐂𝐥𝐨𝐜𝐤𝐰𝐢𝐬𝐞 – Do the same as when you rotate 90° Clockwise.

4. Dilations About the Origin:

Multiply both coordinates by the scale factor.