Triangle Congruence Criteria Practice

Front

What does AAA stand for in triangle congruence?

Back

AAA stands for Angle-Angle-Angle, which is NOT a valid criterion for proving triangle congruence.

Tags

CCSS.8.G.A.2

Front

What are the five ways to prove triangles congruent?

Back

The five ways to prove triangles congruent are SSS (Side-Side-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), SAS (Side-Angle-Side), and HL (Hypotenuse-Leg for right triangles).

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion that states 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 does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion that states 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 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, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion that states 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 HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion used specifically for right triangles, stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

No, knowing only one angle is not sufficient to prove triangle congruence; at least two angles or one side must also be known.

Tags

CCSS.8.G.A.2

Front

What is the significance of triangle congruence in geometry?

Back

Triangle congruence is significant because it allows us to determine that two triangles are identical in shape and size, which is essential for solving many geometric problems.

Tags

CCSS.8.G.A.2

Front

What is the difference between congruence and similarity in triangles?

Back

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

Tags

CCSS.8.G.A.2