Practice Triangle Congruence Theorems

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem that states 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

Front

What does ASA stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem that states 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

Which triangle congruence theorem is not valid for proving congruence?

Back

SSA (Side-Side-Angle) is not a valid theorem for proving triangle congruence.

Tags

CCSS.HSG.SRT.B.5

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Tags

CCSS.HSG.CO.B.6

Front

What is the difference between dilation and rigid transformation?

Back

Dilation changes the size of a figure while maintaining its shape, whereas rigid transformations do not change the size or shape.

Tags

CCSS.8.G.A.3

Front

If two triangles have two sides equal and the included angle equal, what theorem can be used?

Back

The SAS (Side-Angle-Side) theorem can be used to prove the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two angles equal and the side between them equal, what theorem can be used?

Back

The ASA (Angle-Side-Angle) theorem can be used to prove the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two angles and a non-included side equal, what theorem can be used?

Back

The AAS (Angle-Angle-Side) theorem can be used to prove the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5