Geo 5.2 AAS, SAS, SSS, ASA

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem that states if two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem that states if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

Which triangle congruence theorem is NOT valid?

Back

SSA (Side-Side-Angle) is not a valid triangle congruence theorem.

Front

If two triangles have two angles equal, what can be said about their sides?

Back

The sides opposite the equal angles are proportional, but the triangles may not be congruent unless a side is also equal.

Front

What is the significance of congruence statements like PRC?

Back

Congruence statements indicate that two triangles are congruent and specify the corresponding vertices of the triangles.

Front

How can you prove triangles are congruent using AAS?

Back

If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent by AAS.

Front

What is the relationship between congruent triangles?

Back

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

Front

What is the purpose of triangle congruence theorems?

Back

Triangle congruence theorems are used to prove that two triangles are congruent, which helps in solving geometric problems.