Pre-AP Geometry 6.4-6.5 Similar Triangles Evaluate

Name:__________________ Period:___________

1-2: Decide whether ABC and DEF are similar, not similar, or cannot be determined from the given information. A 5cm B 77 6cm C 5cm E A 30 1. 2. D 48 E 75

6cm

C

B

D

55

F

75

F 4-6: Find all variables. 3.

4. y

12 18

7 60

35 x

15

x

15

5-8: Answer using always, sometimes, or never. 5. Two regular octagons are similar. 6. Two congruent polygons are similar. 7. An equilateral triangle is similar to an isosceles triangle. 8. An isosceles triangle is similar to a right triangle.

9-10: Proving Triangles Similar. Justify with a theorem. 9.

If A  E, is ABC  EDC?

10.

If ABC  EDC, then AB  EC = _____ ED.

What theorem or postulate proves the triangles similar? 11.

ABC  CBD B 25 4 A

10 C

12. D

3 F

FGH  MNO G M 3

3

H

5

5

O 5

N

K 13.

Given: XY  LK XZ  JK Prove: JY  ZL = XZ  YX

Z

Y J

L

X

A 14.

Given: AC  BD DE  AB Prove: EFA  CFD

E F

B

D C