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What does SSS stand for in triangle congruence?

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SSS stands for Side-Side-Side, a theorem stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

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What does SAS stand for in triangle congruence?

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SAS stands for Side-Angle-Side, a theorem stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

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What does ASA stand for in triangle congruence?

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ASA stands for Angle-Side-Angle, a theorem stating that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, 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 stating 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, the triangles are congruent.

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What is the HL Congruence Theorem?

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The HL Congruence Theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

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When can we use the HL Congruence Theorem?

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The HL Congruence Theorem can be used only for right triangles.

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What is a congruency statement?

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A congruency statement is a mathematical statement that indicates that two geometric figures are congruent, such as ΔABC ≅ ΔEDC.

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What is the reflexive property in triangle congruence?

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The reflexive property states that a geometric figure is congruent to itself, which is often used in proofs involving congruent triangles.

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What is the significance of corresponding parts in congruent triangles?

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In congruent triangles, corresponding parts (sides and angles) are equal, which helps in proving triangle congruence.

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How can you prove triangles are congruent using SSS?

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