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What does it mean for two triangles to be congruent?

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Two triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

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What is the SSS Postulate?

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The SSS (Side-Side-Side) Postulate 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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What is the SAS Postulate?

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The SAS (Side-Angle-Side) 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 two triangles are congruent.

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What is the ASA Postulate?

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The ASA (Angle-Side-Angle) 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 two triangles are congruent.

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What is the AAS Theorem?

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The AAS (Angle-Angle-Side) 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 HL Theorem?

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The HL (Hypotenuse-Leg) 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 two triangles are congruent.

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How do you determine if two triangles are congruent using the SSS Postulate?

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

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What is the relationship between angles in congruent triangles?

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In congruent triangles, corresponding angles are equal.

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