Geometry Angle Proofs

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

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

• m<1 + m<2 = 180

• m<1 + m<2 = 90

• m<1 = m<2

• nothing

Given: AB is the segment bisector of PQ. What conclusion can you draw?

• PF = QF

• F is the midpoint of PQ

• m<PFA = m<QFA

• <PFQ is a straight angle

Which of the following conclusions CANNOT be drawn just by looking at the diagram?

• GH and AB intersect at D

• <GDA and <HDB are vertical angles

• D is the midpoint of GH

• G, D, and H are collinear

When trying to prove two angles are supplementary, what must you show in your proof?

• that the angles are equal

• that the angles add up to 180 degrees

• that the angles are a linear pair

• that the angles are right angles

• <ABC is not an acute angle

• <ABC is supplementary to another angle

• <ABC is a straight angle

What is the missing statement in the proof?

• Addition property

• Segment Addition Postulate

• Substitution property

• Transitive property

Q1. What is the measure of a right angle?

• A) 100°

• B) 80°

• C) 90°

• D) 180°

Q1. What is the angle of a right triangle?

• A) 100°

• B) 80°

• C) 90°

• D) 180°

• 2x-6=7x+4
• 2x-6+7x+4=90
• 2x-6+7x+4=180
• 2x-6+7x+4=360