Free Printable Geometry SOL Review Strand 3

1.

What is the sum of the interior angles for a 24-gon?

a)

$3960\degree$

b)

$360\degree$

c)

$15\degree$

d)

$4280\degree$

2.

Solve for x.

a)

80

b)

110

c)

17

d)

60

3.

What is the sum of the exterior angles of a 20-gon?

a)

$80\degree$

b)

$360\degree$

c)

$3240\degree$

d)

$162\degree$

4.

What is the measure of ONE interior angle in a regular hexagon (6 sides)?

a)

60°

b)

80°

c)

108°

d)

120°

5.

What is the $m\angle b$ ?

a)

50 degrees

b)

60 degrees

c)

70 degrees

d)

75 degrees

6.

Two tangents CD and CB intersect circle A. Find the length of the tangent segment BC.

a)

2

b)

3

c)

9

d)

14

7.

What is the value of x?

a)

x = 160

b)

x = 40

c)

x = 80

d)

x = 360

8.

Solve for x.

a)

167

b)

11

c)

9

d)

118

9.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

10.

Given: Circle P with center at $(-4,1)$

Which equation could represent circle P?

a)

$\left(x-4\right)^2+\left(y-1\right)^2=41$

b)

$\left(x-4\right)^2+\left(y+1\right)^2=41$

c)

$\left(x+4\right)^2+\left(y+1\right)^2=41$

d)

$\left(x+4\right)^2+\left(y-1\right)^2=41$

11.

An architect used a diagram to design a curved balcony. She drew a circle with a radius of 40 feet and a central angle of 70 degrees to determine the length of the railing needed for the balcony.

Which is closest to the length of railing needed for the curved section of balcony?

a)

977 ft

b)

24 ft

c)

49 ft

d)

251 ft

12.

Chords $\overline{WP}$ and $\overline{KZ}$ intersect at point L in the circle shown. What is the length of $\overline{KZ}$ ?

a)

12

b)

7.5

c)

10

d)

9

13.

Which shape must have opposite sides that are parallel and congruent, and diagonals that are perpendicular bisectors of each other?

a)

Rhombus

b)

Trapezoid

c)

Parallelogram

d)

Rectangle

14.

Which point lies on the circle represented by the equation $\left(x-1\right)^2+\left(y-3\right)^2=49$

a)

$\left(0,7\right)$

b)

$\left(1,3\right)$

c)

$\left(8,3\right)$

d)

$\left(-1,4\right)$

15.

This container is composed of a right circular cylinder and a right circular cone. Which is closest to the surface area of the container?

a)

$1,696\ ft^2$

b)

$1,922\ ft^2$

c)

$6,560\ ft^2$

d)

$1,017\ ft^2$

16.

The water level in a rectangular prism tank 40 cm by 20 cm is 12 cm high. A rock submerged in the tank raises the water level 0.4 cm. What is the volume of the rock?

a)

$320\ cm^3$

b)

$960\ cm^3$

c)

$9920\ cm^3$

d)

$9600\ cm^3$

17.

In parallelogram ABCD, what is $m\angle BDC$ ?

a)

$70\degree$

b)

$45\degree$

c)

$35\degree$

d)

$25\degree$

18.

ABCD is a rhombus

Which of the following is the measure of $\angle CBD$ ?

a)

$50\degree$

b)

$60\degree$

c)

$70\degree$

d)

$75\degree$

19.

$QRST\$ is a parallelogram. What are the coordinates of vertex $S$ ?

a)

$(c,b)$

b)

$(a+b,c)$

c)

$\left(c-a,\ b\right)$

d)

$\left(c+a,\ b\right)$

20.

Rectangle JKLM is shown.

What is the value of x?

a)

29

b)

43

c)

28

d)

12

Geometry SOL Review Strand 3

Total questions: 20

Worksheet time: 43mins

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