Geometry Maxine Terry

In quadrilateral ABCD, AB is parallel to DC and the diagonals intersect at E. Which statement is true?

• No triangles are similar

• ΔADE is similar to ΔBCE

• ΔABD is similar to ΔABC

• ΔABE is similar to ΔCDE

The 12-foot bed of a dump truck loaded with heavy stone must rise to an angle of 36° before the stone will spill out. Approximately how high must the front of the bed rise (x) to unload?

• 6 ft

• 7 ft

• 9 ft

• 10 ft

Given: AC ≅ BD, AD ≅ BC

Which could be used to prove ΔDCA ≅ ΔCDB ?

• SSS

• SAS

• ASA

• AAS

A 20-foot ladder leaning against a building makes an angle of 60° with the ground. How far from the base of the building is the foot of the ladder?

• 5 ft

• 8.2 ft

• 10 ft

• 17.3 ft

Which pipe lengths could be joined to form a triangle?

• 15 ft, 6 ft, 5 ft

• 13 ft, 12 ft, 5 ft

• 40 ft, 20 ft, 10 ft

• 19 ft, 16 ft, 2 ft

Triangles ABC and DEF are similar and have measurements as shown. What is the measure of EF ?

• 21/2

• 15/2

• 9/2

• 3/2

In ΔDEF , DE = 8 inches, EF = 6 inches, and DF = 10 inches. Which lists the angles in order from smallest to largest?

• ∠D, ∠E, ∠F

• ∠F, ∠D, ∠E

• ∠E, ∠F, ∠D

• ∠D, ∠F, ∠E

Given: ∠R ≅ ∠U. Which proportion is true?

• A

• B

• C

• D

The top of a ladder is leaning on a building at a point 12 feet above the ground; the bottom of the ladder is 5 feet from the base of the building. What is the length of the ladder?7

• 19 ft

• 17 ft

• 13 ft

• 7 ft

What is the length of SU ?

• 2 √7 cm

• 7 cm

• 4 √7 cm

• 20 cm