Basic Geometry and Proofs

What is the "reason" for step 5 of the proof?

• Vertical Angle Theorem

• proof

• def. of angle bisector

• CPCTC 

Angles  e and d are what type of angles?

• Vertical Angles

• Corresponding Angles

• Alternate Interior Angles

• Alternate Exterior Angles

AB + BC = AC

• Angle addition postulate

• Segment addition postulate

• Definition of supplementary angles

• Transative property

• Definition of right angle

• Definition of supplementary angles

• Definition of angle bisector

• Definition of midpoint

• Definition of midpoint

• Definition of angle bisector

• Definition of segment bisector

• Definition of perpendicular lines

m<AMX + m<XMB = m<AMB

• Segment addition postulate

• Angle addition postulate

• Definition of supplementary angles

• Definition of angle bisector

• Congruent

• transitive

• equal sign

• supplementary

When writing a proof start with ......

• The given

• Transative property

• Supplementary angles

• Subtraction POE

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

What should you conclude by definition of perpendicular?

• <ORP is a right angle

• QR + RP = QP

• <ORQ and <ORP are complementary