Identify the 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 that states 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 does AAS stand for in triangle congruence?

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AAS stands for Angle-Angle-Side, a theorem that states if two angles and a non-included side of one triangle are equal to two angles and a corresponding non-included side of another triangle, then the triangles are congruent.

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What is the SAS postulate?

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SAS stands for Side-Angle-Side, a postulate that states 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 SSS postulate?

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SSS stands for Side-Side-Side, a postulate that states if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

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What is the HL theorem?

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HL stands for Hypotenuse-Leg, a theorem that states 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.

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How can you prove triangles are congruent using the SSS postulate?

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To prove triangles are congruent using the SSS postulate, show that all three sides of one triangle are equal to the corresponding three sides of another triangle.

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How can you prove triangles are congruent using the SAS postulate?

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

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How can you prove triangles are congruent using the ASA theorem?

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To prove triangles are congruent using the ASA theorem, show that two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

How can you prove triangles are congruent using the AAS theorem?

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To prove triangles are congruent using the AAS theorem, show that two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

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What is the significance of triangle congruence in geometry?

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Triangle congruence is significant in geometry as it allows for the determination of equal shapes and sizes, which is fundamental in proving other geometric properties and theorems.