Geometry Proofs Practice

If M is the midpoint of AB, then AM = MB

• Addition POE

• Def. of Midpoint 

• Reflexive POE

• Symmetric

If <1 and <2 are complementary, then m<1 + m<2 = 90

• Addition POE

• Subtraction POE

• Def of right angle

• Def of Complementary Angles

IF <ABC ≅ <DEF, then m<ABC = m<DEF

• Reflexive POE

• Addition POE

• Def. of congruent angles

• Def. of right angles

If X is between R & T on a line,
then RX + XT = RT

• Addition POE

• Substitution POE

• Angle Addition Post.

• Segment Addition Post.

What is the reason?

• Definition of Complementary

• Definition of 180 

• Definition of supplementary

• Angle Addition

Which property justifies the next step?

• Definition of linear pair

• Definition of supplementary angles

• Congruent supplements thm

• Linear pair postulate

What is always the 1st statement in reason column of a proof?

• Prove

• Given

• Reason

• Statement

What is the REASON for Statement #3?

• Given

• Definition of Complementary Angles

• Substitution Property

• Reflexive Property of Congruence

What is the REASON for Statement #4?

• Substitution Property

• Distributive Property

• Transitive Property

• Combine Like Terms

What is the justification (reason)?

• reflexive property

• definition of segment bisect

• definition of a midpoint

• substitution property