Congruent Triangles

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What are congruent triangles?

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Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

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What is the symbol used to denote congruence in triangles?

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What is the Side-Side-Side (SSS) Congruence Postulate?

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The SSS Congruence Postulate states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

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What is the Angle-Side-Angle (ASA) Congruence Postulate?

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The ASA Congruence Postulate states 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.

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What is the Side-Angle-Side (SAS) Congruence Postulate?

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The SAS Congruence Postulate 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 triangles are congruent.

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What is the Angle-Angle (AA) Similarity Postulate?

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The AA Similarity Postulate states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar (not necessarily congruent).

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The perimeters of congruent triangles are equal.

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What is the Hypotenuse-Leg (HL) Congruence Theorem?

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The HL Congruence Theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.