1. Sections 6.3 & 6.4 Proving triangles are similar using AA, SSS, SAS
Geometry
Sections 6.3 & 6.4
Proving triangles are similar using AA, SSS, SAS
Objective: SWBAT use the AA, SSS, SAS similarity postulates.

2. Angle- Angle (AA) Similarity Postulate
If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. A
ABC ~ DEF because
A D and
B E D B C E F

3. Side-Side-Side (SSS) Similarity
If the corresponding side lengths of two triangles are proportional, then the triangles are similar.
ABC ~ DEF because A D 6 4 8 12 B C 5 E 10 F

4. Side-Angle-Side (SAS) Similarity
If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides including these angles are proportional, then the triangles are similar. A
ABC ~ DEF because B E, D 10 15 B C 12 E 18 F

5. Example 1:

6. Example 2:

7. Example 3:

8. Example 4: