Triangle Congruence

Front

What is Triangle Congruence?

Back

Triangle Congruence refers to the condition where two triangles are considered congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

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

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence stating that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent.

Front

What is the significance of congruent angles in triangles?

Back

Congruent angles in triangles indicate that the triangles have the same shape, which is essential for establishing triangle congruence.

Front

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

Back

If two triangles have two pairs of congruent angles, the third pair of angles must also be congruent, making the triangles similar.

Front

What is the difference between congruent and similar triangles?

Back

Congruent triangles are identical in size and shape, while similar triangles have the same shape but may differ in size.

Front

How can you prove that two triangles are congruent using the AAS criterion?

Back

To prove two triangles are congruent using AAS, show that two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of the other triangle.

Front

What is the SSA condition in triangle congruence?

Back

The SSA condition (Side-Side-Angle) does not guarantee triangle congruence, as it can lead to ambiguous cases where two different triangles can be formed.