Congruent Triangles

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What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate used to prove two triangles are congruent if two angles and the non-included side of one triangle are equal to the corresponding parts of another triangle.

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What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a postulate used to prove two right triangles are congruent if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate used to prove two triangles are congruent if all three sides of one triangle are equal to the corresponding sides of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate used to prove two triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate used to prove two triangles are congruent if two angles and the included side of one triangle are equal to the corresponding parts of another triangle.

Front

What is the AAS postulate used for?

Back

The AAS postulate is used to prove that two triangles are congruent when two angles and a non-included side of one triangle are equal to the corresponding parts of another triangle.

Front

What is the HL postulate used for?

Back

The HL postulate is used to prove that two right triangles are congruent when the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

Front

How can you prove triangles are congruent using SSS?

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You can prove triangles are congruent using SSS by showing that all three sides of one triangle are equal to the three sides of another triangle.

Front

How can you prove triangles are congruent using SAS?

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You can prove triangles are congruent using SAS by showing that two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Front

How can you prove triangles are congruent using ASA?

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You can prove triangles are congruent using ASA by showing that two angles and the included side of one triangle are equal to the corresponding parts of another triangle.