1. Proving Triangles
Similar

2. AA theorem: If two angles of a triangle are congruent to two angles of another triangle, then the triangles are similar. M A T H J
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Are these triangles similar? If so, write a similarity statement.

3. SSS theorem: If corresponding sides of two triangles are proportional, then the two triangles are similar. K J 32 60 45 L P R Q 30 40 22
Are these triangles similar? If so, write a similarity statement for the triangles and a proportionality statement for the sides.

4. Are these triangles similar? If so, write a similarity statement.
SAS theorem: If an angle of one triangle is congruent to an angle of a second triangle, and the sides including the two angles are proportional, then the two triangles are similar P A L M
13.4 6 12 24
Are these triangles similar? If so, write a similarity statement.

5. Why are the triangles similar?1. L M N P K 3. Y Z X R S T 2. E D C B A

6. Use similar triangles to solve for x.12 18 14 4. 4 10 x 5 6. 5. 10 5 7 x

7. Use similar triangles to solve for x.7. 8 x 6 4 3 9. 4 x 5 x 6 5 11 8.

8. Write a similarity statement & explain why the triangles are similar
Write a similarity statement & explain why the triangles are similar. Then find x. A
10. 7 9 4 6
10.5 B C D E
12.
4.5 x 5 3 Y Z X C B A 2 x M P N Q R x° 4 6 10
11. 8 5 3

9. Write a similarity statement and name the theorem which proves the triangles similar.B C D E
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10. Write a similarity statement and name the theorem which proves the triangles similar.B D E 6 3 10 5 C

11. Write a similarity statement and name the theorem which proves the triangles similar.K L M O N 3 5 6 10

12. THE
END