Triangle Congruence Theorems

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What does SSS stand for in Triangle Congruence Theorems?

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

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What does ASA stand for in Triangle Congruence Theorems?

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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 SAS stand for in Triangle Congruence Theorems?

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SAS stands for Side-Angle-Side, which 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 does HL stand for in Triangle Congruence Theorems?

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HL stands for Hypotenuse-Leg, which applies to right triangles and states that 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 purpose of Triangle Congruence Theorems?

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The purpose of Triangle Congruence Theorems is to determine whether two triangles are congruent, meaning they have the same size and shape.

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Can you use SSS to prove triangle congruence if only two sides are known?

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No, SSS requires all three sides of the triangles to be known to prove congruence.

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What is the difference between ASA and AAS in triangle congruence?

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ASA requires the included side between two angles to be known, while AAS (Angle-Angle-Side) allows for the side to be known outside the two angles.

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In which scenarios can the SAS theorem be applied?

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The SAS theorem can be applied when two sides and the included angle of one triangle are known and compared to another triangle.

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What is the significance of the Hypotenuse-Leg theorem?

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The Hypotenuse-Leg theorem is significant because it provides a method to prove the congruence of right triangles using only two measurements.

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

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To determine if two triangles are congruent using the SSS theorem, measure all three sides of both triangles and compare them.