Triangle Congruence and Similarity (Practice)

Front

What is Triangle Congruence?

Back

Triangle congruence means that two triangles are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What is Triangle Similarity?

Back

Triangle similarity means that two triangles have the same shape but may differ in size, with corresponding angles being equal and corresponding sides being proportional.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What is the Angle-Angle (AA) Criterion for Similarity?

Back

The AA Criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the Side-Angle-Side (SAS) Criterion for Congruence?

Back

The SAS Criterion states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

What is the Side-Side-Side (SSS) Criterion for Congruence?

Back

The SSS Criterion states that if the three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in size and shape, meaning all corresponding sides and angles are equal.

Front

How can you prove that two triangles are congruent?

Back

You can prove two triangles are congruent using criteria such as SSS, SAS, ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), or HL (Hypotenuse-Leg for right triangles).

Front

What is the relationship between the angles in similar triangles?

Back

In similar triangles, corresponding angles are equal.

Front

What is the relationship between the sides in similar triangles?

Back

In similar triangles, the lengths of corresponding sides are proportional.