Congruent Triangles

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are equal to all three sides of another triangle.

Front

Is AAA a valid rule for proving triangles congruent?

Back

No, AAA (Angle-Angle-Angle) is not a valid rule for proving triangles congruent because it does not guarantee that the triangles are the same size.

Front

What is the definition of congruent triangles?

Back

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

Front

What is the Angle-Angle (AA) criterion?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar, but not necessarily congruent.

Front

What is the importance of the included angle in SAS?

Back

In SAS, the included angle is crucial because it is the angle formed between the two sides being compared, ensuring the triangles are congruent.

Front

Can two triangles be congruent if only one side is known?

Back

No, knowing only one side is not sufficient to prove congruence; at least two sides and the included angle or two angles and the included side must be known.

Front

What is the relationship between congruence and similarity in triangles?

Back

All congruent triangles are similar, but not all similar triangles are congruent. Congruent triangles have the same size and shape, while similar triangles have the same shape but may differ in size.

Front

What is the definition of corresponding parts in congruent triangles?

Back

Corresponding parts are the sides and angles of two triangles that are equal in measure when the triangles are congruent.