Identifying Triangle Congruence Criteria

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 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 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 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 HL stand for 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 triangle are equal to the hypotenuse and one leg of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which is not a valid criterion for triangle congruence as it can lead to ambiguous cases.

Tags

CCSS.8.G.A.2

Front

If two triangles have two sides equal and the included angle is not known, can we determine congruence?

Back

No, we cannot determine congruence with just two sides and a non-included angle (SSA condition) as it may lead to different triangle configurations.

Tags

CCSS.8.G.A.2

Front

How can you prove two triangles are congruent using SAS?

Back

To prove two triangles are congruent using SAS, show that two sides of one triangle are equal to two sides of another triangle and that the angle between those sides is also equal.

Tags

CCSS.HSG.SRT.B.5

Front

How can you prove two triangles are congruent using SSS?

Back

To prove two triangles are congruent using SSS, show that all three sides of one triangle are equal to all three sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

How can you prove two triangles are congruent using ASA?

Back

To prove two triangles are congruent using ASA, show that two angles of one triangle are equal to two angles of another triangle and that the side between those angles is also equal.

Tags

CCSS.HSG.SRT.B.5