Congruent Triangle Proofs

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What is the Reflexive Property in geometry?

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What does SSS Congruence stand for?

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SSS Congruence stands for 'Side-Side-Side' Congruence, 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 SAS Congruence stand for?

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SAS Congruence stands for 'Side-Angle-Side' Congruence, 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 ASA Congruence stand for?

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ASA Congruence stands for 'Angle-Side-Angle' Congruence, 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 AAS Congruence stand for?

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AAS Congruence stands for 'Angle-Angle-Side' Congruence, which states that 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 does HL Congruence stand for?

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HL Congruence stands for 'Hypotenuse-Leg' Congruence, which applies to right triangles. It 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 CPCTC?

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CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent', which is used to prove that corresponding sides and angles of congruent triangles are also congruent.

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What is the Midpoint Theorem?

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The Midpoint Theorem states that the segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.

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What are Vertical Angles?

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Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.

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What is the definition of congruent triangles?

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Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.