Proving Triangles Congruent

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 is the definition of congruent triangles?

Back

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

Front

How can you prove triangles are congruent using the SSS criterion?

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 is the significance of marked congruent angles and sides in triangle proofs?

Back

Marked congruent angles and sides indicate which parts of the triangles can be used to apply congruence criteria to prove that the triangles are congruent.

Front

Can two triangles be proven congruent if only one angle and two sides are marked congruent?

Back

Yes, if one angle and the two sides are marked congruent, the triangles can be proven congruent using the AAS criterion.

Front

What does it mean if triangles cannot be proven congruent?

Back

If triangles cannot be proven congruent, it means there is insufficient information or the criteria for congruence are not met.

Front

What is the difference between ASA and AAS?

Back

ASA requires two angles and the included side to be congruent, while AAS requires two angles and a non-included side to be congruent.

Front

What is the purpose of triangle congruence in geometry?

Back

Triangle congruence is used to establish that two triangles are identical in shape and size, which is essential for solving problems involving geometric figures.