Proving Triangles Similar.

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Presentation transcript:

Proving Triangles Similar

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 20o Are these triangles similar? If so, write a similarity statement.

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.

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.

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

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

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

Write a similarity statement and name the theorem which proves the triangles similar. B C D E 80o

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

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

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