Triangles & Congruence

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What does HL stand for in triangle congruence?

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HL stands for Hypotenuse-Leg, a criterion for proving the congruence of right triangles.

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What is the Side-Angle-Side (SAS) congruence criterion?

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SAS 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-Side (AAS) congruence criterion?

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AAS 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 does SSS stand for in triangle congruence?

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SSS stands for Side-Side-Side, a criterion for proving the congruence of triangles when all three sides are equal.

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What is the significance of congruent triangles in geometry?

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Congruent triangles have the same shape and size, which allows for the transfer of properties and measurements between them.

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What is the definition of congruence in geometry?

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Congruence in geometry means that two figures have the same shape and size.

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

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To prove triangles are congruent using SAS, show that two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of the other triangle.

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What is the relationship between corresponding angles in congruent triangles?

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In congruent triangles, corresponding angles are equal.

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