Triangle Congruence Proofs

Front

What is Triangle Congruence?

Back

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 SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence that states 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 is CPCTC?

Back

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 Reflexive Property?

Back

The Reflexive Property states that any geometric figure is congruent to itself, meaning for any segment AB, AB ≅ AB.

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What are Vertical Angles?

Back

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

Front

What is the definition of congruence in geometry?

Back

In geometry, congruence means that two figures have the same shape and size, and can be made to coincide by rigid transformations such as translation, rotation, or reflection.

Front

What is the significance of the Given statement in a proof?

Back

The Given statement provides the initial conditions or information that is assumed to be true for the purpose of the proof.

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What does it mean for angles to be congruent?

Back

Two angles are congruent if they have the same measure, regardless of their position.

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What is the Angle-Angle (AA) criterion for triangle similarity?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

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What is the purpose of a proof in geometry?

Back

The purpose of a proof in geometry is to provide a logical argument that establishes the truth of a geometric statement based on previously established facts and definitions.