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.

Tags

CCSS.8.G.A.2

Front

What does the acronym ASA stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does the acronym AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a rule used to prove that two triangles are congruent 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.

Tags

CCSS.HSG.SRT.B.5

Front

What does the acronym SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a rule used to prove that two triangles are congruent if all three sides of one triangle are equal to the three sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does the acronym SAS stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of corresponding angles in triangle congruence?

Back

Corresponding angles are angles in two triangles that occupy the same relative position. If two triangles are congruent, their corresponding angles are equal.

Tags

CCSS.8.G.A.2

Front

What is the significance of corresponding sides in triangle congruence?

Back

Corresponding sides are sides in two triangles that are in the same relative position. If two triangles are congruent, their corresponding sides are equal in length.

Tags

CCSS.8.G.A.2

Front

Can two triangles be congruent if only one angle and one side are known?

Back

No, knowing only one angle and one side (SSA) does not guarantee triangle congruence, as it can lead to ambiguous cases.

Tags

CCSS.8.G.A.2

Front

What is the criteria for triangle congruence using the SSS rule?

Back

For the SSS rule, if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the criteria for triangle congruence using the SAS rule?

Back

For the SAS rule, 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.

Tags

CCSS.HSG.SRT.B.5