#5.3, 5.5, 5.6 Proving Triangles Congruent

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What does AAS stand for in triangle congruence?

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

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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 the corresponding sides of another triangle.

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What is the Side-Angle-Side Congruence Theorem?

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The Side-Angle-Side Congruence Theorem states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What is the Angle-Angle-Side Congruence Theorem?

Back

The Angle-Angle-Side Congruence Theorem states that 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 two triangles are congruent.

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What is the Angle-Side-Angle Congruence Theorem?

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The Angle-Side-Angle Congruence Theorem states that if two angles and the included side of one triangle are equal to two angles and the corresponding included side of another triangle, then the two triangles are congruent.

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What is the Side-Side-Side Congruence Theorem?

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The Side-Side-Side Congruence Theorem states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

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How can you determine if two triangles are congruent using AAS?

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To determine if two triangles are congruent using AAS, check if two angles and a non-included side of one triangle are equal to the corresponding parts of another triangle.

Front

How can you determine if two triangles are congruent using ASA?

Back

To determine if two triangles are congruent using ASA, check if two angles and the included side of one triangle are equal to the corresponding parts of another triangle.