Proofs in Geometry

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

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 can you conclude by definition of angle bisector?

• m<RPL = m<LPQ

• <RPL + m<LPQ = m<RPQ

• <RPQ is acute

• m<RPQ = 90

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

• Transitive Property, SAS(Side-Angle-Side)
• Reflexive Property, SAS(Side-Angle-Side)
• Transitive Property, SSS(Side-Side-Side)
• Reflexive Property, SSS(Side-Side-Side)

What is the "statement" for step 3 of the proof? 

• ∡EDA≅∡DCB

• ∡AED≅∡BEC

• DE=CE

• ∡AED≅∡CED

What is the "reason" for step 4 of the proof?

• proof

• AAS
  ≅ Thrm

• ASA
  ≅ Thrm

• SAS
  ≅ Thrm

What is the "statement" for step 2 of the proof?

• ∆BAC≅∆DAC

• BC=DC

• ∡B≅∡D

• ∡BAC≅∡DAC

Q1. What is the measure of a right angle?

• A) 100°

• B) 80°

• C) 90°

• D) 180°