Postulates and Proof Charts

What is the missing statement in the proof?

• Addition property

• Segment Addition Postulate

• Substitution property

• Transitive property

What is the justification?

• Symmetric Prop.
• Angle addition postulate
• Reflexive Prop
• Transitive Prop.

Given: PL is the angle bisector of <RPQ

What can you conclude by definition of angle bisector?

• m<RPL = m<LPQ

• <RPL + m<LPQ = m<RPQ

• <RPQ is acute

• m<RPQ = 90

What is the justification (reason)?

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

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

• Addition POE
• Substitution POE
• Angle Addition Post.
• Segment Addition Post.

Which property justifies the next step?

• Segment addition postulate
• Definition of an angle bisector
• Angle addition postulate
• Definition of right angles

Identify the  missing statement or reason

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

Identify the  missing statement or reason

• Given
• Vertical Angles Theorem
• Definition of Angle Bisector
• Alternate Interior Angles Theorem

Which is an example of transitive property?

• If a=b and b=m, then a = m.
• If a=b then b=a.
• Given a number a, a=a
• If a=5, then 3a-5 = 3(5)-5

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