Geometry Proofs Unit 2

Front

What is the CPCTC Theorem?

Back

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

Front

What does the SAS Congruence Theorem state?

Back

The SAS (Side-Angle-Side) Congruence Theorem 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 Congruence Theorem?

Back

The ASA (Angle-Side-Angle) Congruence Theorem 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.

Front

What is the formula for the Pythagorean Theorem?

Back

a^2 + b^2 = c^2, where 'c' is the length of the hypotenuse and 'a' and 'b' are the lengths of the other two sides of a right triangle.

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 definition of an angle bisector?

Back

An angle bisector is a line or ray that divides an angle into two equal parts.

Front

What is the definition of congruent triangles?

Back

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

Front

What is the definition of complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.

Front

What is the definition of supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.