Proofs Review

Front

What is the definition of CPCTC?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent'. It is used in proofs to show that if two triangles are congruent, then their corresponding sides and angles are also congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for 'Angle-Angle-Side'. It is a method of proving that two triangles are congruent by showing that two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle.

Front

What is the SAS postulate?

Back

SAS stands for 'Side-Angle-Side'. It 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.

Front

What is the ASA postulate?

Back

ASA stands for 'Angle-Side-Angle'. It states that if two angles and the included side of one triangle are congruent to two angles and the corresponding included side of another triangle, then the two triangles are congruent.

Front

What is the HL theorem?

Back

HL stands for 'Hypotenuse-Leg'. It is a method of proving the congruence of two right triangles by showing that the hypotenuse and one leg of one triangle are congruent to the hypotenuse and one leg of another triangle.

Front

What does SSA stand for, and why is it not a valid congruence criterion?

Back

SSA stands for 'Side-Side-Angle'. It is not a valid congruence criterion because it can lead to ambiguous cases where two different triangles can be formed.

Front

Back

This statement indicates that the segments SP and PS are equal in length, which is a fundamental property used in triangle congruence proofs.

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 demonstrates the truth of a geometric statement or theorem based on previously established facts and definitions.

Front

What is the meaning of congruence in geometry?

Back

Congruence in geometry means that two figures have the same shape and size. Congruent figures can be transformed into one another through rotations, translations, or reflections.

Front

What is the definition of 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.