Name:__________________________________
Date:___________________
Period:______
Pre-AP Geometry
Unit 8 Review: Transformations
1. Describe, in words, each of the following
transformations:
6. Describe what a rigid transformation is and
which transformations are rigid.
a. Dilation
b. Rotation
c. Reflection
d. Translation
7. Find the coordinates of the vertices of the image
with a
2. Describe each transformation:
a. Figure 1 to Figure 2.
b. Figure 1 to Figure 3.
8. Graph the image of each figure:
M.C. Escher
9. Write the equation of each line of reflection.
3. Graph the image of the figure under the
10. The rectangle ABCD shown will be rotated 90°
counterclockwise about the origin.
a. What will be the
coordinates of the image?
4. Write a rule, in arrow notation, to describe the
translation.
5. The vertices of a rectangle are R(–5, –5),
S(–1, –5), T(–1, 1), and U(–5, 1). After a
translation,
is the point (–7, 3). Describe the
rule for the translation and find coordinates of
b. After the rotation, what
will not be preserved?
.
A. length of AB
B. AB // CD
C. slope of DC
D. measure of ∠B
11. a. Describe the symmetry
in the regular hexagon.
15. Find the coordinates of the vertices of the image
for a dilation with center (0, 0) and a scale factor
of
b. Describe the symmetry
in the equailateral
triangle.
12. Ryan wants to make a quilt out of identical pieces of
fabric. What could the shape of the tessellated pieces
be, so that there is no overlapping or gaps within the
quilt?
A. Regular pentagon
B. Regular hexagon
C. Regular decagon
D. Regular octagon
13. Find the coordinates of the image of the triangle for
the composition of a translation (x, y)  (x – 1, y – 6)
a followed by a reflection in the y - axis.
J (2, 5)
P (2, 1)
A (5, 4)
14. a. In the graph, what scale
factor is used to go from
∆KLP to ∆K’L’P’?
b. Determine whether the
image is an enlargement
or reduction.
1
.
2
16. A photo originally measuring 5 inches by 8
inches needs to be enlarged to a size of 60 by 96
inches. Find the scale factor of the enlarged
photo.
17. ∠1 and ∠2 are a linear pair. 𝑚𝑚∠1 = 𝑥𝑥 − 39, and
𝑚𝑚∠2 = 𝑥𝑥 + 97. Find the measure of each angle.
18. Identify all the different angle pairs in the
diagram below.
c. Which statement about
the dilation is true?
A. KL ≅ K′L′
B. ∠P ≅ ∠P′
C. perimeter of KPL = perimeter of K′P′L′
D.
3
(area of ABC) = area of A′B′C′
2
19. In ���
𝐽𝐽𝐽𝐽 , 𝐽𝐽𝐽𝐽 = 4𝑥𝑥 − 15 and 𝐻𝐻𝐻𝐻 = 2𝑥𝑥 + 3, where H is
the between J and K on ���
𝐽𝐽𝐽𝐽 .
a. If 𝐽𝐽𝐽𝐽 = 48, find the value of x.
b. Is H the midpoint of ���
𝐽𝐽𝐽𝐽 ? Explain.
20. Solve: 3𝑛𝑛 − 26 =
5𝑛𝑛+14
7