Proving Triangles Congruent

Front

What does SSA stand for in triangle congruence?

Back

SSA stands for Side-Side-Angle, which is not a valid congruence criterion.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, which is a valid criterion for proving triangles congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, which is a valid criterion for proving triangles congruent.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

If ∆ABC ≅ ∆XYZ, what can we conclude about the sides AB and XY?

Back

AB ≅ XY, meaning the lengths of sides AB and XY are equal.

Front

What is the importance of the order of vertices in triangle congruence?

Back

The order of vertices indicates which angles and sides correspond to each other in congruent triangles.

Front

What is the definition of the included angle in triangle congruence?

Back

The included angle is the angle formed between two sides of a triangle.

Front

How can you prove two triangles are congruent using the SSS criterion?

Back

If all three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent (SSS: Side-Side-Side).

Front

What is the difference between congruence and similarity in triangles?

Back

Congruent triangles are identical in size and shape, while similar triangles have the same shape but may differ in size.

Front

What is the Angle-Side-Angle (ASA) criterion?

Back

The ASA criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.