Triangle Congruence Pre Test

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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 does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for 'Side-Angle-Side', 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, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for 'Angle-Side-Angle', 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, the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for 'Angle-Angle-Side', 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, the triangles are congruent.

Front

What does SSA stand for in triangle congruence?

Back

SSA stands for 'Side-Side-Angle', which is NOT a valid criterion for triangle congruence because it can lead to ambiguous cases where two different triangles can be formed.

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What is the Angle Sum Property of a triangle?

Back

The Angle Sum Property states that the sum of the interior angles of a triangle is always 180 degrees.

Front

How can you determine if two triangles are congruent using the SSS criterion?

Back

Measure the lengths of all three sides of both triangles. If all three pairs of corresponding sides are equal, the triangles are congruent.

Front

How can you determine if two triangles are congruent using the SAS criterion?

Back

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, they are congruent.

Front

What is the significance of congruent triangles in geometry?

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Congruent triangles are significant because they allow for the establishment of equal lengths and angles, which can be used in proofs and problem-solving.