Triangle Congruence

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.

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of triangle congruence?

Back

Triangle congruence means that two triangles are identical in shape and size, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What are the four main criteria for triangle congruence?

Back

The four main criteria are SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), and AAS (Angle-Angle-Side).

Tags

CCSS.HSG.SRT.B.5

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.

Tags

CCSS.HSG.SRT.B.5

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.

Tags

CCSS.HSG.SRT.B.5

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.

Tags

CCSS.HSG.SRT.B.5

Front

What is the importance of congruent triangles in geometry?

Back

Congruent triangles are important in geometry because they allow for the establishment of equal lengths and angles, which can be used to solve various geometric problems and proofs.

Tags

CCSS.8.G.A.2

Front

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

Back

To prove two triangles are congruent using the SSS criterion, measure the lengths of all three sides of both triangles and show that they are equal.

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between congruent triangles and rigid transformations?

Back

Congruent triangles can be mapped onto each other using rigid transformations such as translations, rotations, and reflections, which preserve distances and angles.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the significance of the included angle in the SAS criterion?

Back

The included angle in the SAS criterion is significant because it is the angle formed between the two sides being compared, and it must be equal for the triangles to be congruent.

Tags

CCSS.HSG.SRT.B.5