Congruent Triangle Proofs

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are congruent to two angles and the included side of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

Front

What does CPCTC stand for?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent, a principle used after proving two triangles are congruent.

Front

What is the definition of vertical angles?

Back

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

Front

What is the Angle Bisector Theorem?

Back

The Angle Bisector Theorem states that the angle bisector of an angle in a triangle divides the opposite side into segments that are proportional to the lengths of the other two sides.

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any quantity is equal to itself, which is often used in proofs involving congruent segments or angles.

Front

What is the definition of congruent triangles?

Back

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

Front

What is the significance of Alternate Interior Angles in parallel lines?

Back

Alternate Interior Angles are congruent when formed by a transversal intersecting two parallel lines, which is a key concept in proving triangle congruence.

Front

What additional information is needed to prove triangles congruent by ASA?

Back

To prove triangles congruent by ASA, you need two angles and the included side of one triangle to be congruent to two angles and the included side of another triangle.

Front

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 statement or theorem based on previously established facts.