Similar Triangles #2

In the diagram below, ∆ABC ∼ ∆ADE. Which measurements are justified by this similarity?

• AD = 3, AB = 6, AE = 4, and AC = 12

• AD = 5, AB = 8, AE = 7, and AC = 10

• AD = 3, AB = 9, AE = 5, and AC = 10

• AD = 2, AB = 6, AE = 5, and AC = 15

In the diagram below of right triangle AED, BC ll DE. Which statement is always true?

• AC/BC = DE/AE

• AB/AD = BC/DE

• AC/CE = BC/DE

• DE/BC = DB/AB

In right triangle ABC shown below, point D is on AB and point E is on CB such that AC II DE. If AB = 15, BC = 12, and EC = 7, what is the length of BD?

• 8.75

• 5

• 6.25

• 4

In the diagram below, BC connects points B and C on the congruent sides of isosceles triangle ADE, such that ABC is isosceles with vertex angle A. If AB = 10, BD = 5, and DE = 12, what is the length of BC?

• 6

• 7

• 8

• 9

In the diagram below ∆ABC ∼ ∆DEF, which statement is true?

• AC/DF = BC/DE

• AB/BC = FE/DE

• AB/DE = BC/FE

• AB/DE = FE/BC

In the diagram below of right triangle ABC, altitude BD is drawn to hypotenuse AC, AC = 16, and CD = 7. What is the length of BD?

• 3√7

• 4√7

• 7√3

• 12

Triangle ABC shown below is a right triangle with altitude AD drawn to the hypotenuse BC. If BD = 2 and DC = 10, what is the length of AB?

• 2√2

• 2√5

• 2√6

• 2√30

Triangle PQT with RS ll QT is shown below. If PR = 12, RQ = 8, and PS = 21, what is the length of PT ?

• 14

• 17

• 35

• 38