Triangle Congruence

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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 their corresponding sides and angles are equal.

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What does the Reflexive Property of Congruence state?

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What is the SAS Postulate?

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The SAS (Side-Angle-Side) Postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

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What is the ASA Postulate?

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The ASA (Angle-Side-Angle) Postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

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What is the AAS Postulate?

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The AAS (Angle-Angle-Side) Postulate states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

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What is the SSS Postulate?

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The SSS (Side-Side-Side) Postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

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What does CPCTC stand for?

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

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What is the definition of congruence in geometry?

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In geometry, congruence means that two figures have the same shape and size, which can be shown through rigid transformations such as translation, rotation, and reflection.

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What is the Vertical Angles Theorem?

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The Vertical Angles Theorem states that when two lines intersect, the opposite (or vertical) angles are congruent.

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How do you determine if two triangles are congruent using the Reflexive Property?

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If two triangles share a side or angle, that side or angle is congruent to itself, allowing for the use of the Reflexive Property in proving triangle congruence.