Congruent Triangles

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate 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 SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate 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

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate 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 postulate 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 HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a postulate that applies to 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, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

When can triangles be considered congruent?

Back

Triangles can be considered congruent if they satisfy any of the congruence postulates: SSS, SAS, ASA, AAS, or HL.

Tags

CCSS.8.G.A.2

Front

If two triangles have two sides of equal length and the included angle is equal, what postulate applies?

Back

The SAS (Side-Angle-Side) postulate applies.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have all three sides of equal length, what postulate applies?

Back

The SSS (Side-Side-Side) postulate applies.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two angles equal and the side opposite one of the angles is equal, what postulate applies?

Back

The AAS (Angle-Angle-Side) postulate applies.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

No, you need at least two angles and one side (AAS) or two sides and the included angle (SAS) to determine congruence.

Tags

CCSS.8.G.A.2