Angle Proofs Practice

If $$a = b$$ , then $$b = a$$ . This property states that if one quantity equals another, then the second quantity equals the first.

If two angles are complementary to the same angle (or to congruent angles), then those two angles are congruent.

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

If two angles are supplementary to the same angle (or to congruent angles), then those two angles are congruent.

A right angle is an angle that measures exactly $$90^\text{degrees}$$ .

If $$a = b$$ and $$b = c$$ , then $$a = c$$ . This property allows us to conclude that if two quantities are equal to the same quantity, they are equal to each other.

For any quantity $$a$$ , it holds that $$a = a$$ . This property states that any quantity is equal to itself.

Two angles are complementary if the sum of their measures is $$90^\text{degrees}$$ .

Two angles are supplementary if the sum of their measures is $$180^\text{degrees}$$ .

Two figures are congruent if they have the same shape and size, meaning their corresponding angles and sides are equal.