Similarity Test Review

Angle X = 60°.

The Reflexive Property states that any geometric figure is congruent to itself, e.g., $$\triangle R \text{ is congruent to } \triangle R$$ .

△YWZ.

Reflexive Property.

AA ~ (Angle-Angle Similarity Postulate).

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180°.

If two parallel lines are cut by a transversal, then each pair of corresponding angles is equal.

AA ~ stands for Angle-Angle similarity, which states that if two angles of one triangle are congruent to two angles of another triangle, the triangles are similar.

SAS ~ (Side-Angle-Side similarity) states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are congruent, the triangles are similar.

Similar triangles are triangles that have the same shape but may differ in size; their corresponding angles are equal and their corresponding sides are proportional.