Chapter 7 Review Sheet
7. True or False: The line is a line of symmetry
for the shape below.
1. Explain what is meant by a rigid
transformation.
2. Which picture shows a rotation of the flag?
[A]
[B]
8. How many lines of symmetry does a regular
hexagon have? Sketch the symmetry lines on
the figure below.
[C]
9. Name the
transformation.
MRY
D
Preimage
A
5. Use the figure below.Segment x is reflected
in the x-axis, followed by a reflection in the yaxis, followed by another reflection in the xaxis. Its final image is _____.
y
5
x
s
Image
q
3. The reflection image
of
M
L
C
NO in line q is BC .
B
Find the measure of BC
N
if NO = 8.
O
4. Graph the triangle whose vertices
have
the coordinates given below. Then draw its
reflection in the x-axis.
(–8, 3), (–2, 3), (–6, 8)
[A] segment t
MRY
[D]
t
[B] segment p
10. Lines l and m intersect at point O forming
an 80° angle. Point P is reflected in l, followed
by a reflection in m. Describe the location of
the image P ′′ .
11. Graph the figure with vertices (– 3, – 5) ,
(– 5, – 3), (– 8, – 6), and (– 6, – 8). Draw the
rotation image for a rotation of 180° about the
origin.
x
− 2 and
3
passes through point (6, 2). Write its equation.
12. A line is perpendicular to y =
[C] segment s
–5
[D] segment x
r
5 x
w
–5
q
6. Draw, if possible, a quadrilateral with
exactly one line of symmetry.
p
13. Graph ∆ PQR with P(– 7, 8), Q(– 7, 5),
and R(– 8, 5). Graph ∆P ′Q ′R ′ after the
translation described by the vector 4, – 13 .
Chapter 7 Review Sheet
14. ∆PQR below is rotated clockwise
90° about the origin. Find the coordinates of
the vertices of the image
∆P ′ Q′ R ′ .
15. Which of the following is NOT true?
[A] A rectangle has rotational symmetry and
always has line symmetry.
[B] A regular hexagon has rotational symmetry
and always has line symmetry.
[C] A triangle has rotational symmetry and
always has line symmetry.
[D] A parallelogram has rotational symmetry
and may have line symmetry.
18. The motion rule for this transformation of
∆ABC onto ∆A′ B ′ C ′ is _________ .
[A] (x, y) → (x – 6, y – 5)
[B] (x, y) → (x – 5, y – 6)
[C] (x, y) → (x + 6, y + 5)
[D] (x, y) → (x + 5, y + 5)
19. Find the image of ∆ ABC after the glide
reflection described.
Translation: x , y → x , y + 1 ; Reflection: in
x =1
b g b
16. Segment AB is translated so that (x, y) →
(x + 4, y – 3).Find the coordinates of the
endpoints of the image A′ B ′.
g
y
10
C
A
B
10 x
–10
–10
20. The point A(2, 5) is translated by the vector
K
v = 〈−5, − 3〉 and then reflected in the y-axis.
Find the coordinates of its image, A′.
17. Write the first statement of an indirect
proof of the following:
Given: In ∆ABC , <A and <B are
complementary.
Prove: ∆ABC is a right triangle.
21. Find the length of the hypotenuse of a right
triangle if the length of the long leg is 6in.
22. The measure of an inscribed angle is how
many times smaller that it’s intercepted arc?
.