Practice Triangle Congruence

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What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

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What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem that states 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, then the triangles are congruent.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem that states if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

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What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem that applies 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, then the triangles are congruent.

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What is the significance of triangle congruence theorems?

Back

Triangle congruence theorems are used to prove that two triangles are identical in shape and size, which is essential in solving geometric problems.

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How can you prove triangles are congruent using SAS?

Back

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

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How can you prove triangles are congruent using AAS?

Back

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

Front

How can you prove triangles are congruent using SSS?

Back

To prove 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 triangles are congruent using HL?

Back

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

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What is the difference between SAS and ASA?

Back

SAS requires two sides and the included angle to be equal, while ASA requires two angles and the included side to be equal.