Identifying Congruence Conditions

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What does AAS stand for in triangle congruence?

Back

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

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a condition 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.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a condition 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.

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a condition 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.

Front

What is the AAS congruence condition used for?

Back

The AAS congruence condition is used to prove that two triangles are congruent by showing that two angles and a non-included side are equal.

Front

What is the ASA congruence condition used for?

Back

The ASA congruence condition is used to prove that two triangles are congruent by showing that two angles and the included side are equal.

Front

What is the SAS congruence condition used for?

Back

The SAS congruence condition is used to prove that two triangles are congruent by showing that two sides and the included angle are equal.

Front

What is the SSS congruence condition used for?

Back

The SSS congruence condition is used to prove that two triangles are congruent by showing that all three sides are equal.

Front

What is the HL congruence condition used for?

Back

The HL congruence condition is used to prove that two right triangles are congruent by showing that the hypotenuse and one leg are equal.