Triangle Congruence Review

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What does congruence mean in geometry?

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Congruence in geometry means that two figures have the same shape and size. This can be shown through various congruence criteria.

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What are the criteria for triangle congruence?

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The main criteria for triangle congruence are: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles).

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What is the SSS congruence criterion?

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The SSS (Side-Side-Side) criterion 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 SAS congruence criterion?

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The SAS (Side-Angle-Side) criterion 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 ASA congruence criterion?

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The ASA (Angle-Side-Angle) criterion 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 AAS congruence criterion?

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The AAS (Angle-Angle-Side) criterion 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 triangles are congruent.

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What is the HL congruence criterion?

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The HL (Hypotenuse-Leg) criterion applies to right triangles and states 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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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 all three sides of both triangles and show that they are equal.

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