Triangle Congruence

Front

What is Triangle Congruence?

Back

Triangle Congruence refers to the condition where two triangles are considered congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

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 where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

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 where two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are equal to the three sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the HL criterion in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion for triangle congruence applicable to right triangles, where the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

The triangles are congruent by the SAS criterion.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two angles equal, what can be concluded?

Back

The triangles are congruent by the AAS criterion.

Tags

CCSS.8.G.A.2

Front

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

Back

No, at least two sides and the included angle or two angles and a side must be equal for the triangles to be congruent.

Tags

CCSS.8.G.A.2

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles are significant because they allow for the establishment of equal lengths and angles, which is fundamental in proving other geometric properties and theorems.

Tags

CCSS.8.G.A.2