SSS, SAS, AAS, ASA, HL

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 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 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 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 HL stand for in triangle congruence?

Back

HL stands for 'Hypotenuse-Leg', a criterion for triangle congruence applicable 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, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have sides of lengths 5, 7, and 10, and another triangle has sides of lengths 5, 7, and 8, are the triangles congruent?

Back

No, the triangles are not congruent because the lengths of the sides do not match.

Tags

CCSS.8.G.A.2

Front

If triangle ABC is congruent to triangle XYZ, what can we say about the corresponding sides?

Back

AB ≅ XY, BC ≅ YZ, AC ≅ XZ.

Tags

CCSS.HSG.CO.B.7

Front

What additional information is needed to prove triangles are congruent by AAS?

Back

You need to know two angles and one non-included side of one triangle to be equal to the corresponding parts of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the difference between ASA and AAS?

Back

ASA requires the angle to be between the two sides, while AAS does not require the angle to be between the two sides.

Front

If two angles of one triangle are equal to two angles of another triangle, what can be concluded?

Back

The triangles are congruent by the Angle-Angle (AA) criterion.

Tags

CCSS.8.G.A.2