Congruent Triangles and shortcuts

Front

What are congruent triangles?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What is the Angle-Angle (AA) criterion for triangle 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, but not necessarily congruent.

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Back

Front

What additional information is needed to prove congruence using SAS?

Back

To prove congruence using SAS, you need to know the lengths of two sides and the measure of the included angle.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means the triangles are the same size and shape, while similarity means the triangles have the same shape but may be different sizes.

Front

What is the congruence statement for triangles?

Back

Front

What is the purpose of the triangle congruence postulates?

Back

The triangle congruence postulates (SAS, ASA, SSS) are used to determine if two triangles are congruent based on their sides and angles.