Columns Proofs Congruent Angles

Vertical angles are always

• acute

• total 180 degrees

• congruent (equal measures)

• adjacent angles

Angles 4 and 6 are...

• supplementary

• congruent

• Substitution Property
• Substitution (Simplify)
• Definition of Congruence
• Transitive Property
• Given
• Reflexive Property
• Segment Addition Postulate

What is the missing statement in the proof?

• 2m∠ABD=m∠ABD+m∠ABD

• m∠ABD=m∠DBC

• m∠ABC=m∠ABC

• m∠ABD+m∠ABD=m∠ABD+m∠DBC

Which is the correct reason for statement 2 in the proof?

• Given

• Transitive Property

• Definition of Congruent Angles

• Vertical Angles are congruent.

What is the correct reason for

• Given

• Prove

• Definition of a Supplementary Angles

• Transitive Property

What is the missing statement in the proof?

• m∠ABD+m∠DBC=m∠ABC

• m∠ABD=m∠DBC

• m∠ABC=m∠ABC

• none of the other choices are correct

What is statement #2?

• ∠ABC≅∠EDC

• ∠BCA≅∠DCE

• BC≅CD

• ∠E≅∠A

What is the correct reason for

• Given

• Prove

• Definition of a Supplementary Angles

• Transitive Property