Proof in Geometry

Are the triangles congruent, if yes, why?

• SSS

• SAS

• ASA

• Not Congruent

In the given proof, what is the reason for final step?

• Reflexive Property of Congruence

• Corresponding Parts of Congruent Triangles are Congruent

• Angles that form a linear pair are supplementary.

• Alternate Interior Angles are Congruent.

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

• The given

• Transative property

• Supplementary angles

• Subtraction POE

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 missing statement in the proof?

• Addition property

• Segment Addition Postulate

• Substitution property

• Transitive property

• <ORP is a right angle

• QR + RP = QP

• <ORQ and <ORP are complementary

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 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

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