Segment and Angle Proofs Practice

What is the Reflexive Property?

• For any segment or angle A, A = A. This property states that any quantity is equal to itself.

• For any segment or angle A, A + B = B + A. This property states that addition is commutative.

• For any segment or angle A, A - B = B - A. This property states that subtraction is commutative.

• For any segment or angle A, A * B = B * A. This property states that multiplication is commutative.

What does it mean for two angles to be supplementary?

• Two angles are supplementary if the sum of their measures is 180 degrees.

• Two angles are supplementary if they are both acute angles.

• Two angles are supplementary if they are both right angles.

• Two angles are supplementary if their measures add up to 90 degrees.

What is the definition of a linear pair?

• A linear pair consists of two adjacent angles whose non-common sides form a straight line.

• A linear pair consists of two angles that are complementary to each other.

• A linear pair consists of two angles that are supplementary to each other.

• A linear pair consists of two angles that are vertical to each other.

What is the definition of complementary angles?

• Two angles are complementary if the sum of their measures is 90 degrees.

• Two angles are complementary if the sum of their measures is 180 degrees.

• Two angles are complementary if they are equal in measure.

• Two angles are complementary if they are adjacent to each other.

What is the definition of vertical angles?

• Angles that are adjacent to each other when two lines intersect.

• Angles that are opposite each other when two lines intersect. They are always equal.

• Angles that are supplementary to each other when two lines intersect.

• Angles that are complementary to each other when two lines intersect.

What is the Linear Pair Postulate?

• If two angles form a linear pair, then they are supplementary.

• If two angles are complementary, then they form a linear pair.

• If two angles are adjacent, then they are equal.

• If two angles are vertical, then they are supplementary.

What can be concluded if two angles are equal?

• They can be substituted for each other in equations or expressions.

• They are complementary angles.

• They are supplementary angles.

• They are adjacent angles.

What is the Substitution Property?

• If two quantities are equal, one can be substituted for the other in any expression.

• The sum of two equal quantities is equal to a third quantity.

• If a = b, then a + c = b + c for any c.

• Two quantities can only be substituted if they are both integers.

What can be concluded if two angles are adjacent?

• Adjacent angles share a common vertex and a common side but do not overlap.

• Adjacent angles are always equal in measure.

• Adjacent angles are supplementary and add up to 180 degrees.

• Adjacent angles must be complementary and add up to 90 degrees.

What is the Transitive Property?

• If A = B and B = C, then A = C.

• If A > B and B > C, then A > C.

• If A + B = C, then A = C - B.

• If A = B, then B = A.