Geometry Proofs Practice

Given: PL is the angle bisector of <RPQ

What can you conclude by definition of angle bisector?

• m<RPL = m<LPQ

• <RPL + m<LPQ = m<RPQ

• <RPQ is acute

• m<RPQ = 90

What is the missing statement in the proof?

• Addition property

• Segment Addition Postulate

• Substitution property

• Transitive property

Fill in the statement for number 3. 

• HA = AY

• HA = AP

• A is the midpoint of HP

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

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

Which of the following CAN you conclude from the diagram?

• lines l and m are perpendicular

• <a and <b are adjacent

• <a and <b are complementary

• m<a = m<b

What is the reason?

• Definition of Complementary

• Definition of 180 

• Definition of supplementary

• Angle Addition

What is the REASON for Statement #1?

• Given

• Definition of Complementary Angles

• Substitution Property

• Reflexive Property of Congruence

What is the REASON for Statement #2?

• Given

• Definition of Complementary Angles

• Substitution Property

• Reflexive Property of Congruence