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Segment Addition Postulate

If A, B, and C are collinear, then point B is between A and C if and only if AB + BC = AC.

Angle Addition Postulate

D is in the interior of angle ABC and only if m<ABD + m<DBC = m<ABC.

Def. of Congruent Segments

Two segments are congruent if and only if they have the same measure

Def. of Congruent Angles

2 angles are congruent if and only if they are equal

Def. of Midpoint

a point is a midpoint if and only if it divides a segment into 2 congruent segments

Def. of Complementary Angles

∠A and ∠B are complementary if and only if m∠A + m∠B = 90°

Def. of Supplementary Angles

∠A and ∠B are supplementary if and only if m∠A + m∠B = 180°

Def. of a Right Angle

∠A is a right angle if and only if m∠A = 90°

Supplement Theorem

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

Complement Theorem

If the noncommon sides of two adjacent angles form a right angle, then the angles are complementary angles.

Vertical angles theorem

If two angles are vertical angles, then they are congruent.