Triangle Congruence

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What does ASA stand for in triangle congruence?

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ASA stands for Angle-Side-Angle, a theorem used to prove that two triangles are congruent if two angles and the included side are equal.

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What does SAS stand for in triangle congruence?

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SAS stands for Side-Angle-Side, a theorem used to prove that two triangles are congruent if two sides and the included angle are equal.

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What does SSS stand for in triangle congruence?

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SSS stands for Side-Side-Side, a theorem used to prove that two triangles are congruent if all three sides are equal.

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What does AAS stand for in triangle congruence?

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AAS stands for Angle-Angle-Side, a theorem used to prove that two triangles are congruent if two angles and a non-included side are equal.

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What is the HL theorem in triangle congruence?

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HL stands for Hypotenuse-Leg, a theorem used to prove that two right triangles are congruent if the hypotenuse and one leg are equal.

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When can you use the ASA theorem?

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You can use the ASA theorem when you know two angles and the included side of one triangle are equal to the corresponding parts of another triangle.

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When can you use the SAS theorem?

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You can use the SAS theorem when you know two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

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When can you use the SSS theorem?

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You can use the SSS theorem when you know all three sides of one triangle are equal to the corresponding sides of another triangle.

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When can you use the AAS theorem?

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You can use the AAS theorem when you know two angles and a non-included side of one triangle are equal to the corresponding parts of another triangle.

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What is the significance of triangle congruence?

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Triangle congruence is significant because it allows us to determine that two triangles are identical in shape and size, which is essential in various applications in geometry.