Dec 17 Core 3 Geometry Congruence Review (Basics to Proofs)

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What does CPCTC stand for in geometry?

Back

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

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What is the SAS Congruence Postulate?

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The SAS (Side-Angle-Side) Congruence 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 two triangles are congruent.

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What is the ASA Congruence Postulate?

Back

The ASA (Angle-Side-Angle) Congruence 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 two triangles are congruent.

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What is the AAS Congruence Theorem?

Back

The AAS (Angle-Angle-Side) Congruence Theorem 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 two triangles are congruent.

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What does SSS stand for in triangle congruence?

Back

SSS stands for 'Side-Side-Side'. The SSS Congruence Postulate states that if all three sides of one triangle are congruent to all three sides of another triangle, then the two triangles are congruent.

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What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that are on opposite sides of a transversal and inside the two lines it intersects. If the lines are parallel, these angles are congruent.

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What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in the same position on two different lines cut by a transversal. If the lines are parallel, these angles are congruent.

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What is the definition of congruence in geometry?

Back

In geometry, congruence means that two figures have the same shape and size. Congruent figures can be superimposed on each other.

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What is the significance of parallel lines in geometry?

Back

Parallel lines are lines in a plane that never meet. They are always the same distance apart and have the same slope. They are important in determining angle relationships.

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What is a triangle?

Back

A triangle is a polygon with three edges and three vertices. The sum of the interior angles of a triangle is always 180 degrees.