Triangle Congruence Shortcuts

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 AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are equal to two angles and the corresponding non-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 AAA stand for in triangle congruence?

Back

AAA stands for Angle-Angle-Angle, which indicates that if two triangles have equal corresponding angles, they are similar but not necessarily congruent.

Front

What is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which is not a valid criterion for triangle congruence because it can lead to ambiguous cases.

Front

Can two triangles be congruent if only two sides are known?

Back

No, two triangles cannot be determined to be congruent with only two sides known unless the included angle is also known (SAS condition).

Front

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

Back

The included angle is the angle formed between two sides of a triangle. It is crucial for the SAS criterion of triangle congruence.

Front

What is the difference between congruence and similarity in triangles?

Back

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

Front

What is the purpose of triangle congruence shortcuts?

Back

Triangle congruence shortcuts help determine if two triangles are congruent without needing to measure all sides and angles.

Front

What is the definition of congruent triangles?

Back

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