Triangle Congruence Theorems

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What does ASA stand for in triangle congruence?

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

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem used to prove that two triangles are congruent 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.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem used to prove that two triangles are congruent if 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?

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

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What does HL stand for in triangle congruence?

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HL stands for Hypotenuse-Leg, a theorem used to prove that 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

How can you prove two triangles are congruent using ASA?

Back

To prove two triangles are congruent using ASA, you need to show that two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

How can you prove two triangles are congruent using AAS?

Back

To prove two triangles are congruent using AAS, you need to show that two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Front

How can you prove two triangles are congruent using SAS?

Back

To prove two triangles are congruent using SAS, you need to show that two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

How can you prove two triangles are congruent using SSS?

Back

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

Front

How can you prove two right triangles are congruent using HL?

Back

To prove two right triangles are congruent using HL, you need to show that the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.