Download Geometry CST Std 7-21 Multiple Choice Identify the choice that best

Geometry CST Std 7-21
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. When two parallel lines are cut by a transversal,
which of the following pairs of angles are not
necessarily congruent?
a. alternate interior angles b. alternate exterior
angles c. corresponding angles d. same-side
interior angles
A
B
13
3x +
1
D
C
a. 4 b. 4.5 c. 4.67 d. 6.5
2. The diagram below shows two parallel lines cut by
a transversal. Find the value of z.
2 x – 54
x + 22
5. Gus is writing down the properties of circles.
Which of the following should he not include?
a. All radii are congruent. b. A circle has 180º.
c. A diameter divides a circle into two semicircles.
d. Circles with congruent radii are congruent.
6. Using only the given information in the diagram
below, what reason makes the lines m and n
parallel?
y + 13
z
135°
n
135°
a. 54 b. 69 c. 98 d. 156
3. Which of the following is enough information to
prove that a quadrilateral is a parallelogram?
a. One pair of angles is congruent. b. One pair of
opposite sides is congruent. c. The interior angles
sum to 360º. d. One pair of opposite sides is both
congruent and parallel.
4. Find the value of x for which quadrilateral ABCD is
a parallelogram.
m
a. If corresponding angles are congruent, then the
lines are parallel. b. If alternate interior angles are
congruent, then the lines are parallel. c. If vertical
angles are congruent, then the lines are parallel.
d. If alternate exterior angles are congruent, then
the lines are parallel.
7. Which of the following statements is true?
a. All circles are congruent. b. All circles are
similar. c. All chords in a circle are congruent.
d. Every circle has exactly one line tangent to it.
W
8. Which of the following diagrams shows a
parallelogram?
6 x – 28
5y – 5
X
a.
Z
3x + 13
Y
a. 9 b. 18 c. 28 d. 30
b.
11. Which two segments in a circle are not always
congruent?
a. two radii b. two chords c. two diameters
d. two chords equidistant from the center
c.
12. In the diagram below, find the value of x.
d.
58°
9. If two lines are cut by a transversal and the sameside interior angles are congruent, what must be
true about the lines and the transversal?
x
a. They are parallel. b. They are perpendicular.
c. The same-side interior angles cannot be
congruent. d. They are complementary.
a. 27º b. 29º c. 58º d. 116º
10. Using the diagram below, find the value of x that
will make quadrilateral XYWZ a parallelogram.
Use the diagram below.
c
75°
100°
68°
114°
b
a
13. What is the value of a?
a. 36º b. 54º c. 71.5º d. 105º
14. What is the value of c?
a. 105º b. 110º c. 112º d. 114º
4
cm
15. What is the area of the square inscribed in circle O?
O
a. 16 cm2 b. 32 cm2 c. 48 cm2 d. 64 cm2
16. What is the value of x to the nearest tenth?
9m
12 m
x
a. 7.9 m b. 15 m c. 15.9 m d. 21 m
17. An equilateral triangle with sides 18 inches long is
in inscribed in a circle. What is the length of the
radius of the circle?
a. 3
in. b. 6 in. c. 9
in. d. 18 in.
18. Vicky looked at the outside of a circular stadium. She estimated the angle of her vision is 60º. What was the
measure of the arc of the stadium she saw?
Stadium
60°
Vicky
a. 80º b. 120º c. 140º d. 160º
19. What is the value of x in the diagram below?
2 ft
4 ft
3 ft
x
a. 4 ft b. 6 ft c. 8 ft d. 12 ft
20.
is a tangent and
is a secant to circle P. What is the length of
?
C
15 cm
D
5 cm
B
P
A
a. 5 cm b. 8.6 cm c. 10 cm d. 20 cm