Class Proofs

What is the justification (reason)?

• reflexive property
• definition of segment bisect
• definition of a midpoint
• substitution property

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 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

Identify the  missing statement or reason

• Reflexive Property
• Definition of Midpoint
• Given
• Vertical Angles Theorem

What is the reason?

• Definition of perpendicular
• Definition of Right angle
• Definition of 90 
• Definition of angle

Given: ∠1 and ∠3 are vertical angles. What should you conclude by the vertical angles theorem?

• undefined andundefined are right angles.

Given: ∠1 and ∠2 are supplementary. What can you conclude?

• Nothing

Name the property of equality or congruence that justifies going from the first statement to the second statement.

• Reflexive Property of Equality
• Symmetric Property of Equality
• Symmetric Property of Congruence
• Reflexive Property of Congruence

Name the property of equality or congruence that justifies going from the first statement to the second statement.

• Reflexive Property of Congruence
• Symmetric Property of Congruence
• Distributive Property
• Transitive Property of Congruence