Reasons for Proofs

Front

A line or line segment that divides an angle into two equal parts

Back

Bisector

Front

If B is the midpoint of AC, then AB ≅ BC.

Back

Definition of Midpoint

Front

Which postulate or definition states that
m∠ADB + m∠BDC = m∠ADC?

Back

Angle Addition Postulate

Front

If ∠A and ∠B are complementary, then m∠A + m∠B = 90°.

Back

Definition of Complementary Angles

Front

If ∠1 and ∠2 are supplementary, then m∠1 + m∠2 = 180°.

Back

Definition of Supplementary Angles

Front

If ∠1 = ∠2 and ∠2 = ∠3, then ∠1 = ∠3. Options: Addition Property of Equality, Symmetric Property of Equality, Reflexive Property of Equality, Transitive Property of Equality

Back

Transitive Property of Equality

Front

If ∠BAT and ∠MAN are vertical angles, then ∠BAT ≅ ∠MAN.

Back

Vertical Angles Theorem

Front

If DB bisects ∠ABC, then ∠ABD = ∠CBD.

Back

Definition of Angle Bisector

Front

If AB=BC and BC=CD, then AB=CD. What is the proof reason?

Back

Transitive Property

Front

If B is the midpoint of RL, then RB=BL. State the reason.

Back

Definition of midpoint