Similar Triangles Perimeter and Altitude

A SEGMENT EXTENDING FROM THE VERTEX TO THE OPPOSITE SIDE, CREATING A LINE PERPENDICULAR TO THE LINE OPPOSITE THE VERTEX

• ALTITUDE

• MIDSEGMENT

• MEDIAN

• ANGLE BISECTOR

ΔABC is similar to ΔDEF. The ratio of the length of AB to the length of DE is 3:1. Which ratio is also equal to 3:1?

• m<A: m<D

• m<B:m<F

• area ΔABC: area ΔDEF

• perimeter ΔABC:perimeter ΔDEF

• 1

• 2

• 3

• 4

• (1)

• (2)

• (3)

• (4)

Mathematical Equivalence

ON

The sides of a triangle are 8, 12, and 15. The longest side of a similar triangle is 18. What is the ratio of the perimeter of the smaller triangle to the perimeter of the larger triangle?

• 2:3

• 4:9

• 5:6

• 25:36

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

• 14

• 17

• 35

• 38

In the accompanying diagram of right triangle ABC, altitude BD divides hypotenuse AC into segments with lengths of 3 and 9. Find the length of AB.

• 3√3

• 6√3

• 6√2

• 6

If ΔABC is similar to ΔADE, 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 fig, if DE ll BC then find the value of AD

• 16

• 8

• 4

• 32