Flashcard Review Triangles and Congruence

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 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

Are triangles with two angles equal always congruent?

Back

Yes, triangles with two angles equal are always congruent by the Angle-Angle (AA) criterion.

Front

What is the SSA condition in triangle congruence?

Back

The SSA condition (Side-Side-Angle) does not guarantee triangle congruence, as it can lead to ambiguous cases.

Front

If two triangles have two sides equal and the included angle is not known, can we determine congruence?

Back

No, we cannot determine congruence without knowing the included angle; we need either SAS or AAS.

Front

What additional information is required for two triangles to be congruent by SSS?

Back

The lengths of all three sides must be known.

Front

If two triangles are congruent, what can we say about their corresponding parts?

Back

If two triangles are congruent, their corresponding sides and angles are equal.

Front

How can you prove two triangles are congruent using AAS?

Back

To prove two triangles are congruent using AAS, show that two angles and a non-included side of one triangle are equal to the corresponding parts of the other triangle.