7.1.3 Triangle Similarity: AA, SSS, and SAS

Question 1

Angle-Angle Similarity Postulate

Answer 1

If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Question 2

Side-Side-Side Similarity Theorem

Answer 2

If the three sides of one triangle are proportional to the three corresponding sides of another triangle, then the triangles are similar.

Question 3

Side-Angle-Side Similarity Theorem

Answer 3

If two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar.

Question 4

Reflexive Property of Similarity

Answer 4

△ABC ∼ △ABC

Question 5

Symmetric Property of Similarity

Answer 5

If △ABC ∼ △DEF, then △DEF ∼ △ABC.

Question 6

Transitive Property of Similarity

Answer 6

If △ABC ∼ △DEF and △DEF ∼ △XYZ, then △ABC ∼ △XYZ.