Proofs: What is the reason?

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

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

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

Tags

CCSS.8.G.A.5

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

• Definition of Supplementary Angles
• Angle Addition Postulate
• Definition of Right Angle
• Definition of Complementary Angles

Tags

CCSS.7.G.B.5

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

• Definition of Supplementary Angles
• Angle Addition Postulate
• Vertical Angles Theorem
• Definition of Complementary Angles

Tags

CCSS.7.G.B.5

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 DB bisects ∠ABC, then ∠ABD = ∠CBD.

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

Tags

CCSS.HSG.CO.C.9

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

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

Given that angles A and B form a linear pair what is the next step we can conclude by definition of a linear pair?

• m∠A + m∠B = 90
• A and B are both acute angles
• m∠A + m∠B = 180
• A and B are both obtuse angles

Tags

CCSS.7.G.B.5