Geometry 8.5 guided notes:

If two angles of one triangle are congruent to the 2 other angles of a second triangle, then the triangles are similar.

I) Proving Triangles are similar

A) Side-Side-Side (SSS) Similarity Theorem:

If the corresponding pairs of sides of two triangles are proportional, Then the triangles are similar.

Example:

B) Side-Angle-Side (SAS) Similarity Theorem

If an angle of one triangle is equal to an other triangle, and the sides forming these angles are in proportion, then the triangles are similar.

Example: