Triangle Congruence - Missing Information

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What is Triangle Congruence?

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Triangle Congruence refers to the condition where two triangles are considered congruent if they have the same size and shape, meaning their corresponding sides and angles 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 criterion for triangle congruence 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 ASA criterion for triangle congruence?

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ASA stands for Angle-Side-Angle, which 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 does SSS mean in the context of triangle congruence?

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

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What is the AAS criterion for triangle congruence?

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AAS stands for Angle-Angle-Side, which 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 theorem in triangle congruence?

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HL stands for Hypotenuse-Leg, a criterion specifically for right triangles that states 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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What is the significance of congruent angles in triangles?

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Congruent angles in triangles indicate that the triangles may be similar or congruent, and they help in establishing congruence through criteria like ASA and AAS.

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What information is needed to apply the SAS criterion?

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To apply the SAS criterion, you need two sides and the included angle of one triangle to be equal to the corresponding two sides and the included angle of another triangle.

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What does it mean if two triangles are not congruent?

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If two triangles are not congruent, it means that they do not have the same size and shape, and their corresponding sides and angles are not equal.

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How can you determine if two triangles are congruent using the SSS criterion?

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To determine if two triangles are congruent using the SSS criterion, measure all three sides of both triangles. If all three sides of one triangle are equal to the three sides of the other triangle, they are congruent.