Triangle Congruence

Front

What is Triangle Congruence?

Back

Triangle congruence refers to the condition where two triangles are identical in shape and size, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What does SSA stand for in triangle congruence?

Back

SSA stands for Side-Side-Angle, which is not a valid criterion for proving triangle congruence.

Tags

CCSS.8.G.A.2

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a valid criterion for triangle congruence where two sides and the included angle are equal.

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a valid criterion for triangle congruence where two angles and a non-included side are equal.

Tags

CCSS.HSG.SRT.B.5

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion for proving the congruence of right triangles based on the lengths of the hypotenuse and one leg.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of the Angle-Side-Angle (ASA) criterion?

Back

ASA is a valid criterion for triangle congruence where two angles and the included side are equal.

Tags

CCSS.HSG.SRT.B.5

Front

Can two triangles be congruent if only one side is known?

Back

No, knowing only one side (SSA) does not provide enough information to determine congruence.

Tags

CCSS.8.G.A.2

Front

What is the difference between congruence and similarity in triangles?

Back

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

Tags

CCSS.8.G.A.2

Front

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

Back

To prove congruence using SAS, show that two sides of one triangle are equal to two sides of another triangle, and the included angle is also equal.

Tags

CCSS.HSG.SRT.B.5

Front

What is the role of corresponding parts in triangle congruence?

Back

Corresponding parts are the sides and angles of triangles that are matched to determine if the triangles are congruent.

Tags

CCSS.8.G.A.2