Geometry-B Final Review

Chapter 7

100

Are these triangle similar?

Yes

200

Solve for the missing length

? = 10

300

Find x

x = 16

400

Determine if the triangles are similar. If they are similar, state the scale factor from A to B.

Yes, they are similar by 1/3

500

Find the value of x

x = 8

Chapter 8 Part 1

100

Do the side lengths form a right triangle?

AB = 16       BC = 8      AC = 18

No

200

Simplify the radical √72

6√2

300

Use special right triangles to find the value of x

x = 12

400

Use special right triangles to find the value of x

x = 9√3

500

Solve for x. Leave your answer as a simplified radical

x = 3√5

Chapter 8 Part 2

100

Find the missing angle A.

A = 22.62^o

200

Find RS

RS = 37.9 km

300

Find the area of triangle ABC

Area = 52.16 units²

400

Find the measure of angle B

B = 63^o

500

A 10-foot ladder leans against the side of a house. The end of the ladder makes a 65^o angle with the ground. How far up the side of the house does the ladder reach?

9.06 ft

Chapter 10

100

Find the value of x.

x = 120^o

200

Find the length of arc ACB

ACB = 34.6 in

300

Write the equation of the circle with center at (4, -2) and a radius of 8.

(x-4)² + (x+2)² = 64

400

Find the measure of angle A.

A = 35^o

500

Solve for x

x = 8

Chapter 11

100

Find the volume of the cone.

V = 31.57mm³

200

Find the surface area

SA = 288in²

300

Find the surface area of the square pyramid.

SA = 552cm²

400

What is the volume of a sphere with a diameter of 14 inches?

V = 1436.76in³

500

If a cylinder has a volume of 602.88 cm3 and a radius of 4 cm, what is the height of the cylinder?

12cm