Triangle Congruence Criteria Review

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 the three 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 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 is the criterion for triangle congruence if no sides or angles are equal?

Back

If no sides or angles are equal, the triangles are not congruent.

Front

If two triangles have two sides equal and the included angle is not equal, are they congruent?

Back

No, they are not congruent. The SAS criterion requires the included angle to be equal.

Front

Can two triangles be congruent if they have two angles equal and a non-included side equal?

Back

Yes, they can be congruent by the AAS criterion.

Front

What is the relationship between congruent triangles and their corresponding parts?

Back

Congruent triangles have corresponding sides and angles that are equal.

Front

If triangle ABC is congruent to triangle DEF, what can be said about their corresponding parts?

Back

AB = DE, BC = EF, AC = DF and angle A = angle D, angle B = angle E, angle C = angle F.

Front

What is the importance of triangle congruence in geometry?

Back

Triangle congruence is important because it allows us to prove that two triangles are identical in shape and size, which is fundamental in solving geometric problems.