Unit 3 Triangle Similarity and Dilatons

In the diagram of ΔSRA below, KP is drawn such that ∠SKP ≅ ∠SRA. If SK = 10, SP = 8, and PA = 6, what is the length of KR, to the nearest tenth?

• 4.8

• 7.5

• 8.0

• 13.3

In right triangle RST below, altitude SV is drawn to hypotenuse RT. If RV = 4.1 and TV = 10.2, what is the length of ST, to the nearest tenth?

• 6.5

• 7.7

• 11.0

• 12.1

In the figure (not drawn to scale), ΔQRS is similar to ΔTUV. Find length UV to the nearest tenth if QR = 5, TU = 17, and RS = 7.

• 23.8

• 60.7

• 12.1

• 2.1

In ΔABC shown below, ∠ACB is a right angle, E is a point on AC, and ED is drawn perpendicular to hypotenuse AB. If AB = 9, BC = 6, and DE = 4, what is the length of AE?

• 5

• 6

• 7

• 8

In the diagram below of right triangle MDL, altitude DG is drawn to hypotenuse ML. If MG = 3 and GL = 24, what is the length of DG?

• 8

• 9

• √63

• √72

In the diagram below, EM intersects HA at J, EA ⊥ HA, and EM ⊥ HM. If EA = 7.2, EJ = 9, AJ = 5.4, and HM = 3.29, what is the length of MJ, to the nearest hundredth?

• 2.47

• 2.63

• 4.11

• 4.39

In triangles ABC and DEF, AB = 4, AC = 5, DE = 8, DF = 10, and ∠A ≅ ∠D. Which method could be used to prove ΔABC ~ ΔDEF?

• AA

• SAS

• SSS

• ASA

Triangle A'B'C' is the image of ΔABC after a dilation of 2. Which statement is true?

• AB = A'B'

• BC = 2(B'C')

• m∠B = m∠B'

• m∠A = 1/2 (m∠A')