AA theorem If two angles of a triangle

AA theorem: If two angles of a triangle are congruent to two angles of another triangle, then the triangles are similar. A H 20 o T M J 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. J P 30 60 32 40 K 45 R 22 L Q Are these triangles similar? If so, write a similarity statement for the triangles and a proportionality statement for the sides.

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 M 13. 4 P 6 12 A 24 L Are these triangles similar? If so, write a similarity statement.

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

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

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

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

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

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

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