Angle Proofs

Given: B is the midpoint of AC. What should you conclude?

• AB + BC = AC

• AB = BC

• A is the segment bisector of BC

• ABC is a straight angle

Tags

CCSS.HSG.CO.C.10

Given: <1 and <3 are vertical angles. What should you conclude by the vertical angles theorem?

• <1 and <2 are a linear pair

• <1 and <3 are right angles

• <2 and <4 are vertical angles

•  $<1\cong<3$  

Tags

CCSS.7.G.B.5

Given: <1 and <2 are a linear pair. Conclusion: m<1 + m<2 = 180. What is the reason that allows you to draw that conclusion?

• Angle addition postulate

• Definition of straight angle

• Linear Pair Postulate

• Definition of supplementary

Tags

CCSS.7.G.B.5

In the following example, we added 2 angles together.  What is the name of the property that allows us to do this?

m $\angle$  ABD + m $\angle$  DBC = m $\angle$  ABC

• Vertical Angles Theorem 

• Angle Addition Postulate 

• Def. of congruence 

• Def. of midpoint