Jan 1, 2026 · Angle-Angle Similarity states that if two corresponding angles in a triangle are congruent (equal) then their corresponding sides are in the same ratio and hence the two …

Explore the Angle-Angle (AA), Side-Angle-Side (SAS), and Side-Side-Side (SSS) similarity criteria with examples, proofs, and key applications in geometry.

Use dilations and rigid transformations to show why a pair of triangles with at least two pairs of congruent corresponding angles must be similar.

Learn how to prove that two triangles are similar by using the AA Similarity Theorem!

The angle similarity theorem states that if two angles have the same measure, then they are similar. In other words, if two angles are equal in measure, then they are equal in shape.

Two triangles are similar if and only if they have the three angles congruently arranged. Also, the equivalent sides must be proportional. Change the positions of points A, B, C, A', B' or C'. …

Two triangles are similar if their corresponding angles are congruent and the lengths of their corresponding sides are proportional. If two angles of one triangle are congruent to two angles …

Similar figures have the same shape but may have different sizes. Two triangles are similar if their corresponding angles are congruent and the lengths of their corresponding sides are …

Key Definition If two pairs of corresponding angles in two triangles are congruent, then the triangles are similar. This is known as A A (Angle-Angle) Similarity.

Understanding the conditions for triangle similarity is pivotal in geometry. The lesson delves into the Angle-Angle Similarity Theorem, which states that if two angles of one triangle are …