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 congruence statements?

Back

Congruence statements indicate which triangles are congruent by listing the corresponding vertices in order, such as triangle ABC is congruent to triangle DEF, written as ABC ≅ DEF.

Front

If two triangles have sides of lengths 5, 12, and 13, are they congruent?

Back

Yes, if two triangles have sides of lengths 5, 12, and 13, they are congruent by SSS.

Front

How can you determine if triangles are congruent using angles?

Back

You can determine if triangles are congruent using angles by applying the ASA or AAS criteria, where two angles and the included side or two angles and a non-included side are equal.

Front

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

Back

In congruent triangles, all corresponding parts (sides and angles) are equal.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means triangles are the same size and shape, while similarity means triangles have the same shape but may differ in size.