Embed Size (px)
Citation preview
Unit: Transformations Name Answer Key
Date
TRANSFORMATIONS STUDY GUIDESolve each or the problems below. Be sure to ask questions if you need more help with a topic.
1 CAN VERIFY THE PROPERTIES OF TRANSFORMATIONS.
1. Reflect the figure over the x-axis. Then, markthe statements as true or false.
T The corresponding sides in the pre-imageand image are congruent.
T The reflection changed the orientation ofvertices.
3. Rotate the figure clockwise. Then, mark
the statements as true or false.
F The orientation of the figure did not
change.
T The corresponding angle measures in the
pre-image and image are congruent.
2. Translate the figure 8 units left and 2 units up.Then, mark the statements as true or false.
The pre-image is located in Quadrant Ill.
T The pre-image and image are congruentfigures.
4. Dilate the figure by a scale factor of 2.5.Then, mark the statements as true or false.
T The orientation of the figure did notchange.
The pre-image and image are congruentfigures.
OManeuvering the Middle LLC, 2017
1 CAN DESCRIBE THE EFFECT OF TRANSFORMATIONS BY USING COORDINATES.
5. Point H is located at (-7, 5).Where is H' otter 0 270 0clockwise rotation?
8. Point B is located at (4,-16).Where is B' after o dilation
with a scale factor of
6, Point P is located at (8, 13).Where is R' affer a translation8 units left and 6 units down 0
q. Point W is located at (6, 2).Where is W' after c 180 0
counterclockwise rotation0
1 CAN DESCRIBE THE EFFECT OF TRANSFORMATIONS BY USING COORDINATES.
7. Point L is located at (-3,-6).Where is L' after a reflectionover the y-axis?
10. Point a is located at 10).Where is Q' after a translation4 units right and units dowrP
Match each of the descriptions with the correct algebraic representation of the transformation.
C ll. Reflection over the x-axisA.
12. Rotation 90 0 counterclockwise
c.13. Translation 2 left and 2 up
D.B Scale Factor: 214. Dilation; E.
15. Rotation 180 0 clockwise F.
16. Translation 2 right and 2 down
G17. Reflection over the y-axis
1 CAN DESCRIBE THE EFFECT OF TRANSFORMATIONS BY USING COORDINATES.
18. Point J(-3) -7) was rotated to J'(7, -3). Howmany degrees was the rotation Q
270 0 clockwise or
counterclockwise
20. Point M(2, 4) was dilated to M'(q, 18). What
was the scale factor, and was the dilation an
enlargement or reduction Q
Scale Factor: 9/2Enlargement
lg. Point C( 12, 5) was reflected to C'(- 12, 5).What was the line of reflection?
y-axis21. Point Z(-5, -6) was translated to Z'(-8J 4).Describe the direction and distance of thetranslation.
3 left and 10 up
OManeuvering the Middle LLC, 2016
1 CAN DESCRIBE CONGRUENCY AND SIMILARITY IN TRANSFORMATIONS.
Answer a-c for each of the transformations below:a) Identify the transformation that occurred.
b) Give an algebraic representation of the transformation.c) Write a similarity or congruency statement for the pre-image and image.
22. 24.
a) Rotation C/270 0 CC Translation 8 left 2 down
b)
XYZ X'Y)Z' HIJK
1 CAN DESCRIBE A SEQUENCE OF TRANSFORMATIONS.
Answer a and b for each of the transformations below:a) Identify the two transformations that occurred.
b) Write a similarity or congruency statement for the pre-image and image.
25.
Reflection over y-axisa)
Dilation; = 2/3
WXYZb)
26,
a) over x-axis a) Rotation 180 0Reflection
Translation q right I up Reflection over y-axis
DEF b)
over) 16
1 CAN DESCRIBE THE EFFECT OF TRANSFORMATIONS BY USING COORDINATES.
For 28-31, describe the transformation that occurred by using coord;na'es.
28.A(-6i -2) -.5 A'(-6, 2) D( '5, 'O) D'(6, c)
Reflection over x-axis
30. 31.0(-2, 7) 0'(-7, -2)
1(-3, 5) 1'(-5, -3) L(3, -7) L '(-7, -4)
Rotation 270 0 clockwiseTrcnsiaticn 10 leftor 90 0 counterclockwise
1 CAN DESCRIBE THE EFFECT OF TRANSFORMATIONS BY USING COORDINATES.
Identify whether each of the following dilations are enlargements or reductions.
32. 33. 34. 35.
(0.2x, o.2y) (7.5x, 7.5y)
Reduction Reduction Enlargement {_Qk)tgement
1 CAN VERIFY THE PROPERTIES OF TRANSFORMATIONS.
36. Complete the table by writing "same" or "changed" to describe the effect that eachtransformation has on the angle measures, side lengths and orientation of a figure.
TRANSLATIONS
REFLECTIONS
ROTATIONS
DILATIONS
ANGLE MEASURES
Same
Same
Same
Same
SIDE LENGTHS
Same
Same
Same
Changed
ORIENTATION
Same
Changed
Changed
Same
OManeuvering the Middle LLC, 2016
