Download Geometry Chapter 4 Test Practice 2. Find the coordinates an

HIGHLIGHT FINAL WORK!!!
Name_________________ Period ______
Geometry
Chapter 4 Test
Practice
3. Write a rule to describe the translation.
Target 4-1
1. Write the translation rule both as a transformation
rule and in vector form. Then draw the vector that
represents the transformation from Point A to A’.
5 units to the right, 4 units up
Translation:  x, y   

Translation:  x, y   

,
>
4. Are translations rigid motions? Justify your answer.

,
,

,
>
2. Find the coordinates and graph the vertices of
the image of ABCD for the transformation.
Target 4-2
Find the coordinates and graph the vertices of the
image for each transformation. (Question 5-6)
5. Reflection of ABCD in the y-axis
Translation: (x , y) → (x + 4, y - 3)
Aʹ( ,
) Bʹ(
,
) Cʹ(
,
) Dʹ( ,
)
Aʹ( ,
) Bʹ(
,
) Cʹ(
,
) Dʹ( ,
)
6. Reflection of IJKL in the x-axis
Highlight the line of symmetry and write a rule to
describe the reflection.
8.
Reflection: In the _________________.
Iʹ(
,
) Jʹ(
,
) Kʹ( ,
) Lʹ(
,
)
9.
7. Given points B(-2, -3), A(0, -1), T(3, -1) graph
BAT and its image after the glide reflection.
Translation:
 x, y    x, y  2
Reflection: in the line x  1
Reflection: In the _________________.
10. Identify the line symmetry (if any) of the words
CIVIC and CHECKBOOK?
Bʹ(
,
) Aʹ( ,
) Tʹ( ,
)
Bʹʹ(
,
) Aʹʹ( ,
) Tʹʹ(
)
,
11. Are reflections rigid motions? Justify your answer.
Target 4-3
12. Determine whether the figure has rotational
symmetry. If so, describe any rotations that map
the figure onto itself.
a)
Target 4-4
17. Dilate triangle PIE ,P(1, 2), I(3, 1), E(-1, -1)
about the origin with a scale factor of 4.
Dilation:  x, y    4 x, 4 y  ,
b)
P(
Pʹ(
I(
Iʹ(
E(
Eʹ(
13. Rotation: 270º counter-clockwise about the
origin.
 x, y    y,  x 
A(
Aʹ(
B(
Bʹ(
C(
Cʹ(
)
)
)
)
)
)
18. Dilate triangle BAT B(-4, 4),A(12, 4),T(-8, -4)
3
about the origin with a scale factor of .
4
3 3
 x, y    x, y  ,
4 4 
14. Rotation: 180º about the origin.
 x, y     x,  y 
A(
Aʹ(
B(
Bʹ(
C(
Cʹ(
B(
Bʹ(
A(
Aʹ(
T(
Tʹ(
)
)
)
)
)
)
15. Write a rule to describe the rotation.
Rotation: ________ about the origin.
)
)
)
)
)
)
Write a rule to describe each dilation:
19.
16. Are rotations rigid motions? Justify your answer.
Dilation:  x, y   (_________________)
)
)
)
)
)
)
20.
23. ABCDAʹBʹCʹDʹ
Dilation:  x, y   (_________________)
21. Are dilations rigid motions? Justify your answer.
Target 4-5
State whether the transformation appears to be
congruent or similar. Also determine which
composition of transformations occured.
(Question 22-23)
22. Black pre image  grey image.
24.
ABC has m A  70 and mB  50.
DEF has mD  50 and mF  60. Your
partner concludes that the triangles are not
similar.
Do you agree or disagree? Why?