Triangle Congruence and Angle Relationships

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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 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 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 does HL stand for in triangle congruence?

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HL stands for 'Hypotenuse-Leg', a theorem applicable to right triangles stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

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What is the relationship between angles in congruent triangles?

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In congruent triangles, corresponding angles are equal.

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How do you solve for x in triangle problems?

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To solve for x, use the properties of congruent triangles, such as equal angles and sides, and apply algebraic methods to isolate x.

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What is the Angle Sum Property of a triangle?

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The Angle Sum Property states that the sum of the interior angles of a triangle is always 180 degrees.

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