U

W

V X

Z

Y

7.55

12

61. ~ ____2.3. ?4. ?5. 50 30 , ?

UVWWhat is the scale factor of UVW to XYZWhat is VWWhat is XZIf m U and m Y what is m Z

XYZ5/6

109

100

Warm Up

Angle-Angle (AA~) Similarity PostulateIf two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.A

B C

D

E F

Side-Side-Side (SSS~) Similarity THM

If the corresponding sides of two triangles are proportional, then the triangles are similar.

A

B C

D

E F

Side-Angle-Side (SAS~) Similarity THM

If the lengths of two sides are proportional and the included angle is congruent, then the triangles are similar

A

B C

D

E F

Ex. Determine whether the triangles are similar. If so, tell which similarity test is used and complete the statement.

F

G

HKL

M

43°43°68°

68°

W

V

U

7

11 X

Y

Z53

Prove that RST~ PSQ

R

S

T

P Q

12

4 5

15 SS

reflexive

520

416

14

14

1. Two sides are proportional2. Included angle is congruent

SAS~