Segment and Angle Proofs Practice

Front

What are supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180°. For example, if ∠1 = 70° and ∠2 = 110°, then ∠1 and ∠2 are supplementary.

Front

What is the Angle Addition Postulate?

Back

The Angle Addition Postulate states that if point B is in the interior of angle AOC, then m∠AOB + m∠BOC = m∠AOC.

Front

What is the definition of complementary angles?

Back

Complementary angles are two angles whose measures add up to 90°. For example, if ∠1 = 30° and ∠2 = 60°, then ∠1 and ∠2 are complementary.

Front

What is the Transitive Property?

Back

The Transitive Property states that if a = b and b = c, then a = c. For example, if x = 5 and x = y, then y = 5.

Front

What is the Reflexive Property of Congruence?

Back

The Reflexive Property of Congruence states that any geometric figure is congruent to itself. For example, if segment AB is a line segment, then AB ≅ AB.

Front

What is the Symmetric Property of Congruence?

Back

The Symmetric Property of Congruence states that if one figure is congruent to another, then the second figure is congruent to the first. For example, if AB ≅ CD, then CD ≅ AB.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. For example, 2(3 + 4) = 2*3 + 2*4.

Front

What is the Substitution Property of Equality?

Back

The Substitution Property of Equality states that if a = b, then b can be substituted for a in any expression. For example, if x = 3, then 2x = 2(3) = 6.

Front

What is the Addition Property of Equality?

Back

The Addition Property of Equality states that if a = b, then a + c = b + c for any number c. For example, if x = 5, then x + 2 = 5 + 2.

Front

What is the Subtraction Property of Equality?

Back

The Subtraction Property of Equality states that if a = b, then a - c = b - c for any number c. For example, if x = 5, then x - 2 = 5 - 2.