Segment and angle proof reasons

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

• Bisector
• Complementary

Tags

CCSS.7.G.B.5

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

• Definition of Congruent Segments
• Definition of Midpoint
• Vertical Angles Theorem
• Definition of Angle Bisector

Tags

CCSS.HSG.GPE.B.6

If ∠1 = ∠2 and ∠2 = ∠3, then ∠1 = ∠3.

• Addition Property of Equality
• Symmetric Property of Equality
• Reflexive Property of Equality
• Transitive Property of Equality

Tags

CCSS.HSG.SRT.B.5

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

• Vertical Angles Theorem
• Definition of Congruent Angles
• Angle Addition Postulate

Tags

CCSS.7.G.B.5

If DB bisects ∠ABC, then ∠ABD = ∠CBD.

• Definition of Congruent Angles
• Definition of Angle Bisector
• Angle Addition Postulate
• Definition of Right Angle

Tags

CCSS.HSG.SRT.B.5

State the proof reason, given: If AB=BC and BC=CD, then AB=CD

• Segment Addition Postulate

• Transitive Property

• Reflexive Property

• Subtraction Property of Equality

Tags

CCSS.HSG.SRT.B.5

State the reason, given:

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

• Definition of congruent segments

• Segment addition postulate

• Given

• Definition of midpoint

Tags

CCSS.HSG.GPE.B.6

What reasons supports the statement?

• Symmetry Property

• Reflexive Property

• Transitive Property

• SSS

Tags

CCSS.HSG.SRT.B.5

What reason supports the statement?

• Vertical angles are congruent.

• Parallel implies alternate interior angles are congruent.

• Parallel implies corresponding angles are congruent.

• Reflexive Property

Tags

CCSS.8.G.A.5

What reason supports the statement?

• Parallel implies alternate interior angles are congruent.

• Parallel implies corresponding angles are congruent.

• Vertical angles are congruent.

• Reflexive Property

Tags

CCSS.HSG.SRT.B.5