Proving Statements about Segments & Angles (G-BIM-2b) Quiz 2b.5

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

• Addition POE

• Definition of Midpoint

• Reflexive POE

• Symmetric POE

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

• Addition POE

• Angle Addition Postulate

• Definition of Right Angle

• Definition of Complementary Angles

IF <ABC ≅ <DEF, then m<ABC = m<DEF

• Reflexive POE

• Addition POE

• Definition of Congruence

• Symmetric POE

If X = Y, then X + 5 = Y + 5

• Addition POE

• Segment Addition Postulate

• Reflexive POE

• Transitive POE

If X is between R & T on a line,

then RX + XT = RT

• Addition POE

• Substitution POE

• Angle Addition Postulate

• Segment Addition Postulate

What is the justification (reason)?

• Reflexive POC

• Symmetric POC

• Transitive POC

• Substitution POE

If <1 and <2 are supplementary, then m<1 + m<2 = 180

• Addition POE

• Angle Addition Postulate

• Definition of Linear Pair

• Definition of Supplementary Angles

What is the justification?

• Symmetric POC

• Angle Addition Postulate

• Reflexive POC

• Transitive POC

What is the justification?

• Transitive POE

• Substitution POE

• Reflexive POE

• Symmetric POE

What allows to say that angle IKH is congruent to angle GKJ?

• Definition of Vertical Angles

• Linear Pairs Theorem

• Definition of a Straight Angle

• Vertical Angles Theorem