Triangle Congruence Practice

Front

What is Triangle Congruence?

Back

Triangle congruence refers to the condition where two triangles are identical in shape and size, meaning their corresponding sides and angles are equal.

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What are the criteria for triangle congruence?

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The criteria for triangle congruence include: 1. Side-Side-Side (SSS) - All three sides of one triangle are equal to the three sides of another triangle. 2. Side-Angle-Side (SAS) - Two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle. 3. Angle-Side-Angle (ASA) - Two angles and the included side of one triangle are equal to two angles and the included side of another triangle. 4. Angle-Angle-Side (AAS) - 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 SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, which is a criterion for triangle congruence stating that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, which is a criterion for triangle congruence stating 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 triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, which is a criterion for triangle congruence stating that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, which is a criterion for triangle congruence stating 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 triangles are congruent.

Front

What is the significance of corresponding parts in triangle congruence?

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In triangle congruence, corresponding parts refer to the sides and angles of the triangles that are equal. This is crucial because if two triangles are congruent, all corresponding parts are equal.

Front

How can you prove triangles are congruent using the SSS criterion?

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To prove triangles are congruent using the SSS criterion, measure the lengths of all three sides of both triangles. If all three pairs of corresponding sides are equal, then the triangles are congruent.

Front

How can you prove triangles are congruent using the SAS criterion?

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To prove triangles are congruent using the SAS criterion, measure two sides and the included angle of both triangles. If the two sides and the included angle of one triangle are equal to the corresponding parts of the other triangle, then the triangles are congruent.

Front

How can you prove triangles are congruent using the ASA criterion?

Back

To prove triangles are congruent using the ASA criterion, measure two angles and the included side of both triangles. If the two angles and the included side of one triangle are equal to the corresponding parts of the other triangle, then the triangles are congruent.