Review 1 - Geometry
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. How are the two angles related?
b.
y
4
2
55°
–4
125°
–2
2
4
x
2
4
x
2
4
x
–2
Drawing not to scale
–4
a. adjacent
b. supplementary
c. complementary
d. vertical
2. Which graph shows a triangle and its reflection
image in the x-axis?
y
a.
c.
y
4
2
4
–4
2
–2
–2
–4
–2
2
4
x
–4
–2
–4
d.
y
4
2
–4
–2
–2
–4
3. Which angle is a right angle?
a.
a.
y
8
b.
4
–8
c.
–4
4
8
x
4
8
x
4
8
x
–4
–8
d.
b.
y
4. Which figure is a convex polygon?
a.
8
4
–8
–4
b.
–4
–8
c.
y
c.
8
4
–8
d.
–4
–4
–8
5. Which translation from solid-lined figure to
dashed-lined figure is given by the vector
?
d.
y
8
4
–8
–4
4
8
x
–4
–8
Short Answer
6. Which point is the midpoint of
A
B
C
–8 –7 –6 –5 –4 –3 –2 –1
7. If
measure of
?
10.
D
0
bisects
E
1
2
3
4
5
6
7
and
Solve for x and find
The diagram is not to scale.
8
and
then what is the
The diagram is not to scale.
11. Use an ordered pair to describe the translation that
is 3 units to the left and 1 units up.
8. Use an ordered pair to describe the translation that
is 7 units to the left and 10 units down.
9.
bisects
,
. Find
12. If
the measure of
and
, then what is
The diagram is not to scale.
,
. The diagram is
not to scale.
13. Describe in words the translation represented by the
vector
.
14. A high school soccer team is going to Columbus to
highway rest stop halfway between the cities. What
see a professional soccer game. A coordinate grid is
are the coordinates of the rest stop? What is the
superimposed on a highway map of Ohio. The high
approximate distance between the high school and
school is at point (3, 4) and the stadium in
the stadium? (One unit 10.2 miles.)
Columbus is at point (7, 1). The map shows a
15. The vertices of a triangle are P(–2, 2), Q(2, 5), and R(–5, 2). Name the vertices of the image reflected in the line y
= x.
16.
Find
18. Find the distance between points P(2, 1) and Q(7,
4) to the nearest tenth.
19.
1
4
2
3
and
are complementary angles. m
=
, and m
=
. Find the
measure of each angle.
20. Rhoda was sitting in seat B6 at a soccer game when
she discovered her ticket was for seat F8. Write a
rule to describe the translation needed to put her in
the proper seat.
Drawing not to scale
17. Judging by appearance, name an acute angle, an
obtuse angle, and a right angle.
21. Find the coordinates of the midpoint of the segment
whose endpoints are H(5, 8) and K(9, 14).
22. M(3, 4) is the midpoint of
The coordinates of S
are (5, 5). What are the coordinates of R?
F
I
E
G
H
23. The vertices of a triangle are P(6, 2), Q(–6, –7), and R(8, –8). Name the vertices of the image reflected in the yaxis.
24. Name the line and plane shown in the diagram.
R
S
P
25. Name an angle supplementary to
Q
(7x – 3)°
(6x + 14)°
Drawing not to scale
26. If
find
the values of x, EF, and FG. The drawing is not to
scale.
E
F
G
28. The complement of an angle is 29°. What is the
measure of the angle?
29.
and
, and
angle.
are supplementary angles.
. Find the measure of each
27. Find the value of x.
30. Find AC.
A
B
C
D
–10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9 10
31. The vertices of a triangle are P(6, 8), Q(–3, 6), and R(–2, 7). Name the vertices of the image reflected in the x-axis.
32. Write a rule to describe the transformation that is a
S
T
U
reflection in the x-axis.
6x
33. Find the midpoint of
2x + 32
y
10
35.
5
Q
–10
–5
5P
10 x
–5
–10
34. If T is the midpoint of
find the values of x and
ST. The diagram is not to scale.
bisects
expression for
, and
. Write an
. The diagram is not to scale.
Review 1 - Geometry
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
B
A
D
B
C
SHORT ANSWER
6. D
7. 39
8.
9. 64
10. x = 11,
11.
12. 63
13. 3 units to the left and 5 units up
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
, 51 miles
133
5.8
= 48,
(x + 4, y + 2)
(7, 11)
(1, 3)
= 42
and plane PQS
x = 9, EF = 5, FG = 12
–17
61°
10
(x, y)  (x, –y)
(–1, 1)
34. x = 8, ST = 48
35. 4x – 16