H. Geometry Final Review

Two figures are similar if their corresponding angles are congruent and the lengths of corresponding sides are _______?

• equal

• proportional

• congruent

• perpendicular

ΔLMN ~ ΔUVW. If the scale factor is 0.75 and the perimeter of ΔLMN is 64, what is the perimeter of ΔUVW?

• 48

• 56

• 72

• 60

Calculate the area of a regular octagon with a side length of 6 cm and an apothem of 7.5 cm.

• 180 cm²

• 225 cm²

• 360 cm²

• 90 cm²

Find the missing side of a right triangle with legs 9 and 12 units.

• 15

• 21

• 18

• 10

In triangle ABC, AB = 6 cm, AC = 6 cm, and BC = 8 cm. Find the altitude from A to BC.

• 4.5

• 5.7

• 7.2

• 5.4

A 13-foot ladder leans against a building. The base is 5 feet from the wall. How high does the ladder reach?

• 12 ft

• 11.5 ft

• 10 ft

• 9.5 ft

A rectangle has an area of 120 in² and a width of 10 in. What is its length?

• 10 in

• 15 in

• 12 in

• 20 in

Find the surface area of a cone with diameter 10 cm and slant height 13 cm.

• 282.7 cm²

• 204.2 cm²

• 157.1 cm²

• 314.2 cm²

Find the area of a triangle with base 18 in and height 7 in.

• 126 in²

• 63 in²

• 72 in²

• 84 in²

In triangle XYZ, angle X = 50°, angle Y = 60°. What is angle Z?

• 70°

• 60°

• 80°

• 90°