triangle congruence

Front

What is triangle congruence?

Back

Triangle congruence refers to the condition where two triangles are identical in shape and size, meaning their corresponding sides and angles are equal.

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 the corresponding parts 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 the corresponding parts 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 the corresponding sides of another triangle.

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 the corresponding parts of another triangle.

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion for triangle congruence specifically for right triangles, where the hypotenuse and one leg of one triangle are equal to the corresponding parts of another triangle.

Front

Can triangles be congruent if they are not similar?

Back

No, congruent triangles are always similar, but similar triangles are not necessarily congruent.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means the triangles are identical in size and shape, while similarity means they have the same shape but may differ in size.

Front

If two triangles have two pairs of equal angles, what can be concluded?

Back

The triangles are congruent by the AAS criterion.

Front

If two triangles have two pairs of equal sides and the included angle is equal, what can be concluded?

Back

The triangles are congruent by the SAS criterion.