Name _____________________________________ Class _____________ Date ____________
Chapter Test
Chapter 9
Form A
Find the coordinates of the vertices of the image of PQRS
for each transformation.
1. reflection across
2. translation
3. rotation of
about the point (0, 0)
4. dilation with scale factor
centered at the origin
5. glide reflection with glide
and reflection across x = 0
6. translation 6 units left and 3 units up
What transformation has the same effect as each composition of transformations?
7. translation
8. translation
followed by reflection across x = 2
followed by
9. reflection across x = 6 and then across x = 2
10. reflection across y = x and then across
11. Draw any centers of rotational symmetry or lines of symmetry on the tessellation.
What type of symmetry does each figure have?
12.
13.
Name _____________________________________ Class _____________ Date ____________
Chapter Test (continued)
Chapter 9
Form A
14. List two letters of the alphabet that have each indicated symmetry.
a. reflectional symmetry
b. rotational symmetry
15. When you work a jigsaw puzzle, what transformations can you perform on the pieces?
Explain your answer. You may draw sketches to support your written response.
16. A local brickyard features various shapes of bricks to be used in patios. To build a solid floor
for your patio, which shape should you not purchase?
A. regular pentagons
B. squares
C. regular hexagons
D. equilateral triangles
E. none of the above
17. Draw a tessellation using at least two different shapes. Describe your tessellation’s
symmetries.
Find the image of
for a dilation with center (0, 0) and the given scale factor.
18.
; scale factor 3
19.
; scale factor
20.
; scale factor 6
21.
; scale factor
A dilation maps
to
.
22. XY = 42 cm, YZ = 35 cm, and XZ = 56 cm. If
sides and the scale factor.
23. XY = 15 in., YZ = 24 in., and XZ = 18 in. If
sides and the scale factor.
Find the image of each point under a
, find the lengths of the other two
, find the lengths of the other two
rotation about the origin.
24.
25.
26.
27. (7, 2)
28. (1, 1)
29.