Proofs: Algebraic, Segment, Angle

Which Reason best fits the statement?

• Vertical Angle Theorem

• Definition of Linear Pair

• Addition Property

• Transitive Property

Tags

CCSS.7.G.B.5

In the given proof, what are the reasons for step 1 and 2?

• Angles that form a linear pair are supplementary.

• Substitution

• Reflexive Property of Congruence

• Angles of equal measure are congruent.

Tags

CCSS.7.G.B.5

Given: ∠1 and ∠2 are supplementary. What can you conclude?

• $m\angle1+m\angle2=180\degree$

• $m\angle1+m\angle2=90\degree$

• $m\angle1=m\angle2$
  

• Nothing

Tags

CCSS.7.G.B.5

If AC ⊥ BD, then ∠DBC is a right angle.

• Definition of Perpendicular Lines
• Definition of Right Angle
• Angle Addition Postulate
• Segment Addition Postulate

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

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 ∠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 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

Find the value of x.

• 22
• 28
• 23
• 30

Tags

CCSS.7.G.B.5

Fill in the reason for 5. 

• Addition Postulate
• Substitution property
• Definition of midpoint
• Segment Addition Postulate

Tags

CCSS.HSG.SRT.B.4

Fill in the statement for number 3. 

• HA = AY
• HA = AP
• A is the midpoint of HP

Tags

CCSS.HSG.CO.C.10