mrswisey.weebly.commrswisey.weebly.com/uploads/2/3/3/...packet...key.docx · Web viewOpening Exercise: The picture of the dog in A below has been transformed into the image in B

Name: ____________________________________________________________ Date: _______________LDay 1and2 Lab Lesson: Introduction to Rigid Motions Geometry CC (M1L12)

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Name: ____________________________________________________________ Date: _______________Day 1: Introduction to Rigid Motions Geometry CC (M1L12)

Opening Exercise: The picture of the dog in A below has been transformed into the image in B. Describe all of the different transformations that have occurred to A in order to produce image B. You don’t need to use technical terminology, yet, but may do so if you remember.

Transformation Original After the Transformation

Key Word

Rotation

Reflection

Translation

Dilation

Example #1: The image of the rabbit face, A, has been transformed each time into image B. Match each transformation with its proper name: Reflection, Dilation, Rotation, or Translation.

Transformation Name:_________________

Transformation Name:__________________



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RIGID MOTIONSTransformations that preserve _________________ and

_____________ ________________. (isometry)

Which rigid motion is shown? Example A Example B Example C

D'E'F'

B'C'

C

BF

E

DJ'

I'

H

IJ

H'M'

L'

K'K

L

M

Example #2: Is the transformation shown below a rigid motion? Explain your answer.

A NON-RIGID MOTION is a transformation that does not preserve the distances and angles between the pre-image and image.

Example #1 Example #2 Example #3

D'

C'

B'B

CD

E G

F

F'

G'E'

K N

ML

L'

K' N'

M'

Dilation (Proportional) Stretch (Not Proportional) Stretch (Not Proportional)

4

Practice NYTS (Now you try some)1. Circle which of the following are rigid motionsPre-Image a) Image b) Image c) Image

2. Use the previous example to determine which transformation took place, circle the answer.

Pre-Image a) Reflection

Translation

Rotation

Dilation

Stretch

b) Reflection

Translation

Rotation

Dilation

Stretch

c) Reflection

Translation

Rotation

Dilation

Stretch----------------------------------------------------------------------------------------------------------------------------------------------------------------

BrainPop! - Introduction to transformations fill in the blanks. A transformation is the __________________ of shapes in 2-dimensional and 3-dimensional space.

What are the 3 basic transformations? _____________ , ____________, and _____________.

Translations can be described by ______________ and ______________.

Rotations can be described by its ________ of _______ and the ____________ ___________.

A reflection is described by its _________ __________ or axis. --------------------------------------------------------------------------------------------------------------------------------------------------1. Circle which of the following are rigid motions (isometric transformations).

Pre-Image a) b) c)

d) e) f)

TED TALK https://www.youtube.com/watch?v=_IZMVMf4NQ0 7:38

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Name: ______________________________________________ Date: _______________Day 2: Rigid Motions – Rotations CC Geometry Module 1

Opening Exercise: Which transformation has taken place?

a) ___________________ b) ___________________ c) ___________________ d) ___________________

B'

D'C'

C

D

B

D'

C'C

D

B

B' B'

D'

C'

C

D

B

D'

F'

E'E

F

D

Term Definition Extra

Rigid Motions(Isometry)

Transformations that preserve ____________ and ___________ _____________.

Which of the 4 transformations are rigid motions?

Rotation In order to perform/describe a rotation: _________ of rotation ________ of rotation (degrees or name angle

with 3 letters) ___________ of rotation(CCW or CW)

Example 1: Identify the Center, Angle, and Direction of rotation for the following diagrams.Center of Rotation on Figure Center of Rotation off Figure

Diagram

Identify the

Direction of RotationIdentify the

Center of Rotation

Identify the

Angle of Rotation

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Example 2: Precisely describe the transformations shown below. Be sure to include the pre-image, angle, direction and center of the rotation.a) b) Determine the best choice to describe the transformation.

Rotate _____ around point ___.

Practice NYTS (Now You Try Some!)For a-b: Fill in the blank to precisely describe the transformations shown below. Be sure to include the pre-image, angle, direction and center of the rotation.

a) Rotate _____around point ___. b) Rotate _____around point ___.

Common Rotation Angles on Coordinate Grid

Rotate 90o

Center OriginRotate 180o

Center OriginRotate 270o

Center Origin

Diagram

Turn _______ _____ time(s) Turn _______ _____ time(s) Turn _______ _____ time(s)7

(1) rotated CCW around point E.(2) rotated CCW around point E.(3) rotated CCW around point E.(4) rotated CCW around point E.

Paper Turn/CoordinateRule

Example 3: Fill in the blanks to precisely describe the transformations shown below. Be sure to include the pre-image, angle(identify the common angle), direction and center of the rotation.

a) Rotate _____around _______. b) Rotate _____around ________.

For c-d determine the choice that best describes the transformation.c) d)

---------------------------------------------------------------------------------------------------------------------------------------------------------------

Example 3: How to rotate points on a coordinate grid.

a) Identify the coordinates of point

b) Rotate about the origin and label the point

c) Rotate about the origin and label the point

d) Rotate about the origin and label the point

Practice NYTO(Now You Try One!)

a) Identify the coordinates of point

b) Rotate about the origin and label the point

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(1) rotated CCW

around the origin.(2) rotated CCW


around the origin.

(4) rotated CCW

(1) rotated CCW


around the A.(3) rotated CCW

around the origin.

(4) rotated CCW

c) Rotate about the origin and label the point

d) Rotate about the origin and label the point

Example 4: a) In the diagram below, has coordinates , and . After a rotation

counterclockwise around the origin, determine and graph the coordinates of the image using the labels and .

b) Is distance and angle measure preserved under this transformation?

Practice NYTO(Now You Try One!)Use the graph shown below to answer parts a and b. a) Rotate rectangle ABCD counterclockwise around the origin, state the coordinates and graph A’B’C’D’.

b) Is angle measure preserved through this transformation?

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Name: ____________________________________________________________ Date: _______________LDay 3and 4 Lab Lesson: Rotations with Compass Geometry CC (M1L12)

Finding the Center of Rotation - COMPASS

a) Determine point O, the center of rotation.

Practice NYTS(Now you try some)1. a) Determine the center of rotation and label it O.

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B'

A'

A

B

1)Measure A to A’

2) Construct the perpendicular bisector of AA’ (use compass)3) Measure B to B’

4) Construct the perpendicular bisector of BB’(use compass)5)The point of intersection of the perpendicular bisectors is the CENTER OF ROTATION

b) Precisely describe the transformations shown above. Be sure to include the pre-image, angle, direction and center of the rotation.

2. a) Construct the center of rotation and label it O.

Are length and angle measure preserved through a Is orientation preserved through a rotation?

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C'

B'

A

B

C

A'

B'

C'

C

B

A

rotation?

Yes or No Yes or No

How to Rotate a Figure-COMPASS

Example 1: Construct a 60o CCW rotation of . Steps to rotate a figure:

Practice NYTO (Now you try one!)

1. Construct a 60o CCW rotation of line segment BC.

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C

A

B

O

A

B

C

1) Connect O to A, then with compass (sharp end on O), create a circle centered at O with radius OA. (A’ will be on this circle 60o counterclockwise from A)

2) Rotation will be a multiple of 60o. Keep compass frozen move to A and make an arc that intersects the first circle.

3) Label intersection on circle A’.

Example 2: Construct a 120o CCW rotation of .

Example 3: Construct a 60o CW rotation of .

Name: ______________________________________________ Date: _______________Day 3: Rigid Motions – More with Rotations CC Geometry Module 1





Rotation In order to perform/describe a rotation: _________ of rotation ________ of rotation (degrees or name angle

with 3 letters) ___________ of rotation(CCW or CW)

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θ

B'A'

C'C

A

B

O

C

A

B

O

C

A

B

O

ROTATION PRACTICE DAY!!!!! SOCRATIVE.COM Room Name: WiseyMepham

1. Are length and angle measure preserved through a rotation?

2. Is orientation preserved through a rotation?

Yes or No Yes or No

For #3-6 Which rigid motion has taken place?3) ___________________ 4) ___________________ 5) ___________________ 6) ___________________

F'

G'E'

E

GF

F'G'

E'

E

GF

F'G'

E'

E

GF

F'G'

E'

E

GF

For #7-9 Fill in the blanks to identify the rotation that has taken place on the coordinate grid. 7. Triangle ABC is pre-image 8. 9.

Rotate ____o CCW around ______ Rotate ____o CCW around ______ Rotate ____o CCW around ______

10. Triangle ABC is graphed on the set of axes below. Graph and label , the image of after a rotation CCW 90o around the origin.

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5

4

2

2

A' (1,-1)

B' (4,-2)

C' (2,-3)

C (3,2)

B (2,4)

A (1,1)

11. The coordinates of , shown on the graph below, are , , and . After is rotated 90o counterclockwise around the origin. Is angle measure preserved under this rotation, and which coordinates are correct for the given vertex?

1) Yes and B' (7 ,−5 )2) No and A' (5 ,−2 )3) No and A' (−5,2 )4) Yes and C ' (−1,4 )

For #12-13. Precisely describe the transformations shown below. Be sure to include the pre-image, center, angle and direction of the rotation.12. 13.

For #14-16 Fill in the blanks to identify the rotation that has taken place on the coordinate grid. 14. 15. 16.

Rotate ____o CCW around ______ Rotate ____o CCW around ______ Rotate ____o CCW around ______

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17. Precisely describe the transformation shown below that maps ΔTRX to ΔVSX . Be sure to include the pre-image, center, angle and direction of the rotation.

18. Precisely describe the transformation shown below that maps PQRS maps to P’Q’R’S’. Be sure to include the pre-image, center, angle and direction of the rotation.

19. a) Triangle XYZ, shown in the diagram below, is rotated 180o around the origin. Graph and label , the image of .

b) Is distance and angle measure preserved under this transformation?Explain your answer

Name: ______________________________________________ Date: _______________Day 4: Rigid Motions – Reflections CC Geometry Module 1

Opening Exercise: Precisely describe the single rigid motion shown below mapping ΔABC to ΔXYZ . Be sure to include the pre-image, center, angle and direction of the rotation.

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Term Definition ExtraRigid Motions

(Isometry)Transformations that preserve ____________ and ___________ _____________.


Line ReflectionsIn order to perform/describe a line reflection:

Pre-image ___________ of reflection

***Orientation is __________________ ***

Sketch the line of reflection and label points ABCD and A’B’C’D’

Example 1: Identify each of the following examples as a reflection or rotation based on the orientation of the images. A.

Reflection or Rotation

B.


C.


D.


PARTNER EXERCISE: Listen to your partners’ description of the reflection occurring on the board and attempt to complete the reflection yourself.

Partner 1 Partner 2

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D'

F'

E'E

F

D B'

D'

C'

C

D

BF'

G'

E'

E

GF

Example 2: Sketch the linear equations below.

a) b) c) d) or __-axis

Example 3: Precisely describe each reflection shown below. Be sure to include the pre-image and line of reflection.

Not on the Coordinate Grid Coordinate Grid (Axis) Coordinate Grid (Not Axis)

Diagrams

Description

Example 4: a) Triangle XYZ, shown in the diagram below, is reflected over the line y=−1. Graph and state the coordinates of , the image of .

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Practice NYTO(Now You Try One!)1. Triangle ABC, shown in the diagram below, is reflected over the line x=−1. Graph and state the coordinates of

, the image of .

PARTNER EXERCISE: Listen to your partners’ description of the reflection occurring on the board and attempt to complete the reflection yourself.

Partner 1 Partner 2

Name: ______________________________________________ Date: _______________Day 3and4 Lab Lesson: Rigid Motions – Reflection Constructions CC Geometry Module 1

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Finding the Line of Reflection - COMPASSExample 1: a) Determine the line of reflection and label it . Steps to finding the line of reflection:

Practice NYTO(Now you try one!): Construct the line of reflection of ABC & A’B’C’. Label it X.

How to Reflect a Figure-COMPASS

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A'

B'

C'

C B

A

A'

B'

C'

C

B

A

1. Measure B to B’ (or any corresponding pair of points)2. Construct the perpendicular bisector of BB’. This is the line of reflection.

Example 2: Given and a line of reflection, construct , the image of over the line of reflection.

Steps to reflecting a figure over a line:

Practice NYTO(Now you try one!)Use your compass and straightedge to construct the image of ∆ABC after a reflection through line L.

Name: ______________________________________________ Date: _______________Day 5: Rigid Motions – Translations CC Geometry Module 1

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B

A

1) Point on A, make arc that will hit the line of reflection twice. (Label the intersections D and E)2) Keep compass frozen. Bullseye on D, make arc on opposite side of line of reflection.3) Bullseye on E, make arc on opposite side of line of reflection to intersect step 2.4)The intersection point of these 2 circles opposite the line of reflection label as A’

Opening Exercise: Precisely describe the transformations shown in the diagrams below.1. Rectangle ABCD maps to KLMN . 2. ΔTRX maps to ΔVSX





Translation In order to perform/describe a translation: _______________ of translation.

(up/down/left/right or with arrow) _______________ of translation.

(# of units or length of vector)

What is a vector?

Example 1: a) Triangle QRS is graphed on the set of axes below. On the same set of axes, graph and label , the image of after a translation of 6 units to the left and 4 units down.

b) Is distance and angle measure preserved under this transformation? Explain your answer

Example 2: a) Precisely describe a translation that maps point S to the point labelled R .

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b) Precisely describe a reflection that maps point Q to point R .

c) Precisely describe a rotation that maps point S to the point R .

--------------------------------------------------------------------------------------------------------------------------------------------------How to Translate a Figure-COMPASS Steps to Translate using a compass

1. Translate along vector A⃗A ':

Practice NYTS (Now You Try Some!)

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A

B

C

A'

1.Measure compass to vector size(A to A’ here).2. Bullseye at B make ½ Circle (in direction vector shows)3. Measure compass A to B

4. Bullseye at A’ make arc to hit ½ circle5. Label intersection point B’ (Should look like B moved same distance and direction as A⃗A ')

1.Translate along vector A⃗A ':

2. a) Triangle XYZ, shown in the diagram below, is translated 6 units right and 3 units down. Graph and state the coordinates of , the image of .


3. Work directly on the figure below. Use your compass and straightedge to construct the image of ∆ABC after a translation of W⃗X . Label your new Image ∆A’B’C’.

Name: ______________________________________________ Date: _______________

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LDay 5 and 6LabLesson: Rigid Motions – Quiz Review CC Geometry Module 1

Socrative.com Student Login Room Name: WISEYMEPHAM

For #1-4 Which transformation has taken place?1) ___________________ 2) ___________________ 3) ___________________ 4) ___________________

B'

D'C'

C

D

B

D'

C'C

D

B

B'B'

D'

C'

C

D

B

D'

F'

E'E

F

D

For #5-7 Complete the chart.

Relationship between pre-image and image ROTATION LINE REFLECTION TRANSLATION

Lengths and Angle Measures SAME OR DIFFERENT SAME OR DIFFERENT SAME OR DIFFERENT

Orientation SAME OR DIFFERENT SAME OR DIFFERENT SAME OR DIFFERENT

8. The vertices of have coordinates , , and ). Under which transformation is the image not congruent to ?

1) a translation of two units to the right and two units down

3) a reflection over the x-axis

2) a counterclockwise rotation of 180 degrees around the origin

4) a dilation with a scale factor of 2 and centered at the origin

9. In the diagram below, a translation maps figure 1 onto figure 2. Which of the following statements is true?

1) F ' E'=2 FE2) m<A'=2m<A3) FE ||F ' E '4) m<A'=m<C

10. In the diagram below, which single transformation was used to map triangle A onto triangle B?

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1) Reflection across the y-axis2) Rotation 90o counter-clockwise around the origin.3) Reflection over the x-axis.4) Rotation 180o counter-clockwise around the origin.

11. In the diagram below, which single transformation was used to map ΔABC onto ΔDEF?

1) Reflection across the y-axis2) Rotation 90o counter-clockwise around the origin.3) Reflection over the x-axis.4) Rotation 180o counter-clockwise around the origin.

12. The coordinates of , shown on the graph below, are , , and . After is rotated 90o counterclockwise around the origin. Is angle measure preserved under this rotation, and which coordinates are correct for the given vertex?

1) Yes and C ' (−1,4 )2) No and A' (−5,2 )3) Yes and B' (7 ,−5 )4) No and A' (5 ,−2 )

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13. The coordinates of , shown on the graph below, are , , and . Graph and label , the image of after a translation left 6 and down 2 units.

14. Use the graph shown below to answer parts a and b. a) Reflect rectangle ABCD over the line y=−1.

b) Is angle measure preserved through this transformation?

15. Determine the line of reflection that maps ABC to A’B’C’.

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C'

A'

B'

B

AC

Name: ______________________________________________ Date: _______________Day 7: Rigid Motions – Correspondence and Symmetry CC Geometry Module 1

Opening Exercise: Determine which point on the graph is the image of W after each rotation described below.

---------------------------------------------------------------------------------------------------------------------------------------------------------------Term Definition Example

Correspondence(Of Sides and Angles)

Angles and sides that are in the ___________ position from pre-image to image.

*Will be congruent through rigid motions*

ΔDEF is the image of ΔABCafter a line reflection.

Example 1: In the figure below, the triangle on the left has been mapped to the one on the right by a rotation of about P. Identify all six pairs of corresponding parts (angles and sides).

Example 2: Quadrilateral ABCD is congruent Quadrilateral HJKL. Complete the following congruent statements.

A ______ ______ L ______ ______

Practice NYTS(Now you try some)1. Pentagon ABCDE is congruent to Pentagon HJKLP. Complete the following congruent statements.

B ______ ______

J ______ ______

2. The diagram below shows a clockwise rotation of degrees was performed on to create . If and find the measure of . Explain your solution.

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P L

KJ

H

A

B C

D

E

Counterclockwise 90o



Clockwise 90o

Corresponding angles Corresponding sides

Term Lines of Symmetry Map(or carry) onto Self

Symmetry

A line of _____________ for which a figure will map onto itself. Means to _____________.

Can be through rotation(center in middle) or reflection over a symmetry line!

Example 2:

Example 3: Which graph is symmetric with respect to the y-axis?

1) 2) 3) 4)

Example 4: As shown in the graph below, the quadrilateral is a square. Which transformation would not map the square onto itself?

1) Reflection over x = 22) Rotate 90o around the origin.3) Reflection over y = 0 (the x –axis)4) Rotate 180o around the origin.

Example 5: As shown in the graph below, the quadrilateral is a square. Which transformation would not map the square onto itself?

1) Reflection over x = 22) Reflection over y = 23) Rotate 180o around (2, 2)4) Rotate 180o around the origin.

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https://www.splashmath.com/math-vocabulary/geometry/line-symmetry

Rotational Symmetry for PolygonsA rotation of the plane that maps the figure back to itself such that the rotation is greater than 0˚ but less than 360˚.

Name that regular polygon & for each shape state the minimum number of degrees and a multiple of that so the polygon can rotate to carry onto itself.Name: Name: Name: Name: Name: Name:

Minimum Angle:

Multiple:

Minimum Angle:

Multiple:

Minimum Angle:

Multiple:

Minimum Angle:

Multiple:

Minimum Angle:

Multiple:

Minimum Angle:

Multiple:

Example 6: A regular octagon is rotated n degrees about its center, carrying the octagon onto itself. The value of n could be

1) 8°2) 80°3) 225°4) 325°

Example 7: Which regular polygon has a minimum rotation of 72° to carry the polygon onto itself?

1) octagon2) decagon3) hexagon4) pentagon

Example 8: A regular decagon is rotated in a counterclockwise direction about its center. Determine and state the minimum number of degrees in the rotation such that the decagon will coincide with itself.

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To find the minimum angle:

Where n is the # of sides.

TED TALK http://ed.ted.com/lessons/the-science-of-symmetry-colm-kelleher 5:08Name: ______________________________________________ Date: _______________Day 7 and 8LabLesson: Sequence of Rigid Motions/Simple Kahoot and Index Card CC Geometry Module 1

Example 1: In the diagram below, has coordinates . Graph and label the coordinates of ΔXYZ , the image of after the translation six units to the left and 1 unit up followed by the reflection over the line y=0.

Example 2: The coordinates of , shown on the graph below, are , , and .

a) Graph and label , the image of after it is reflected over the y-axis.

b) Graph and label , the image of after it is reflected over the x-axis.

c) State a single transformation that will map onto .

Example 3: Triangle ABC is graphed on the set of axes below. Graph, label and state the coordinates of , the image of after a reflection over the line and a translation right 1 down 3.

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INDEX CARDSName: ______________________________________________ Date: _______________Day 8: Rigid Motions – Sequence of Rigid Motions CC Geometry Module 1

Opening Exercise: Triangle ABC has vertices at A(-6, 2) , B(-1, 0), and C(-7, -2), and triangle DEF has vertices at D(8, 2), E(3, 0), and F(9, -2).

a) Graph and label and on the set of axes below.

b)Determine and state the single transformation where is the image of .

Try these multiple choice Regents questions: 1. A sequence of transformations maps rectangle ABCD onto rectangle A"B"C"D", as shown in the diagram below. Which sequence of transformations maps ABCD onto A'B'C'D' and then maps A'B'C'D' onto A"B"C"D"?

1) a reflection followed by a rotation2) a reflection followed by a translation3) a translation followed by a rotation4) a translation followed by a reflection

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Term Definition

Sequence of Rigid Motions More than _______ rigid motion!

Congruence(Defined by Rigid Motions)

Two figures must be congruent if a rigid motion or ___________ of rigid motions maps one to the other.

Glide Reflection Combination of a ____________ and a ____________.

2. Which sequence of transformations will map onto ?

1) reflection and translation2) rotation and reflection3) translation and dilation4) rotation and dilation

--------------------------------------------------------------------------------------------------------------------------------------------------------Example 1: Identify the transformation or sequence of rigid motions that map A to A’ and then A’ to A”.

Example 2: Triangle ABC and its image A’B’C’ are graphed on the set of axes below. Precisely describe a sequence of transformations that maps Triangle ABC onto A’B’C’.

Practice NYTS (Now You Try Some!)Identify the sequence of transformations that map one figure onto the other. a) b)

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A''

A

A'

Sequence of Rigid Motions NOT on the Coordinate Grid

Example 3: Conor is examining the figure below. He was given that , and . Write a sequence of transformations that maps triangle JKL onto triangle XYZ.

Example 4: Moser is examining the figure below. He was given that , and . Write a sequence of transformations that maps triangle ABC onto triangle XYZ.

Practice NYTS (Now You Try Some!)

1. Given right triangles ABC and DEF where and are right angles, and . Describe a precise sequence of rigid motions which would show .

2. In the diagram below of and , a sequence of rigid motions maps onto , onto , and onto . Describe a precise sequence of rigid motions.

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Name: ______________________________________________ Date: _______________Day 9 and 10 Lab Lesson: Rigid Motions Jeopardy CC Geometry Module 1

JEOPARDY DAY – RIGID MOTIONS REVIEWBasic Rigid Motions Sequence of Rigid

MotionsSymmetry

100 100 100200 200 200300 300 300400 400 400500 500 500

Questions will be on smartboard!

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Name: ______________________________________________ Date: _______________Day 9: Rigid Motions – KAHOOT CC Geometry Module 1

SOCRATIVE.COM ROOM NAME: WISEY MEPHAM SO YOU THINK YOU KNOW RIGID MOTIONS???

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37

38

39

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Name: ______________________________________________ Date: _______________Day 10: Rigid Motions – Review for Test CC Geometry Module 1TC

Answer the following multiple choice.

1. A sequence of transformations maps rectangle ABCD onto rectangle A"B"C"D", as shown in the diagram below. Which sequence of transformations maps ABCD onto A'B'C'D' and then maps A'B'C'D' onto A"B"C"D"?

1) a reflection followed by a rotation2) a reflection followed by a translation3) a translation followed by a rotation4) a translation followed by a reflection

2. As shown in the graph below, the quadrilateral is a square. Which transformation would not map the square onto itself?

1) Reflection over x = 22) Reflection over y = 23) Rotate 180o around (2, 2)4) Rotate 180o around the origin.

3. In the diagram below, is rotated 180o to form . Which of the following statements is not true?

1)

2) 3)

4)

4. The image of is . Under which transformation will he triangles not be congruent?

1) a reflection through the origin 3) a translation 4 units right and 2 units up.2) a dilation with a scale factor of 2,

centered at the origin4) a reflection over the line

41

5. A regular octagon is rotated n degrees about its center, carrying the octagon onto itself. The value of n could be

1) 8°2) 50°3) 135°4) 200°

6. Which point shown in the graph below is the image of point W after a counterclockwise rotation of 90o about the origin?

1) A2) X3)B4) Y

7. The diagram below shows a rotation of degrees was performed on to create . If and find the measure of . Explain your solution.

8. A regular pentagon is rotated in a counterclockwise direction about its center. Determine and state the minimum number of degrees in the rotation such that the pentagon will coincide with itself.

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θ

B'A'

C'C

A

B

O

9. Construct the line of reflection that will map figure 1 onto figure 2.

10. Describe a sequence of transformations that will map onto PNJ as shown below.

11. As graphed on the set of axes below, is the image of after a sequence of transformations. a) Determine and state the sequence of transformations.

b) Is congruent to ? Use the properties of rigid motions to explain your answer.

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JN

P

A

B C

12. In the diagram below, has coordinates . Graph label the coordinates of , the image of after the translation three units to the right and 4 units up followed by the reflection over the line

.

13. Triangle ABC and its image A"B"C” are graphed on the set of axes below. Precisely describe a sequence of transformations that maps Triangle ABC onto A"B"C”.

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14. Nicole is examining the figure below. She was given that , and . Write a sequence of transformations that maps triangle ABC onto triangle DEF.

15. Triangle DEF has vertices at , , and , and triangle XYZ has vertices at , , and

.

a) Graph and label and on the set of axes below.

b) Determine and state the single transformation where is the image of .

16. Triangle ABC and triangle DEF are drawn below. If , , and , write a sequence of transformations that maps triangle ABC onto triangle DEF.

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mrswisey.weebly.commrswisey.weebly.com/uploads/2/3/3/...packet...key.docx · Web viewOpening Exercise: The picture of the dog in A below has been transformed into the image in B