Congruence pt2

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem used to prove triangles are congruent when two angles and a non-included side are known.

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

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem used to prove triangles are congruent when two sides and the included angle are known.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem used to prove triangles are congruent when all three sides are known.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem used to prove triangles are congruent when two angles and the included side are known.

Front

What is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence because it can lead to ambiguous cases.

Front

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

Back

The triangles are congruent by the AAS theorem.

Front

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

Back

The triangles are congruent by the SAS theorem.

Front

If two triangles have three pairs of congruent sides, what can be concluded?

Back

The triangles are congruent by the SSS theorem.

Front

If two triangles have two pairs of congruent angles and a non-included side, what can be concluded?

Back

The triangles are congruent by the AAS theorem.