Segment and Algebraic Proofs

Identify the property of equality.
If 9=x, then x=9

• Reflexive
• Symmetric
• Transitive
• Substitution

Name the Property that this statement illustrates:

If x = y, then 3x = 3y.

• Multiplication Property Of Equality

• Addition Property Of Equality

• Symmetric Property Of Equality

What is Addition property of equality

• a.   If a=b, then a+c=b+c
• b.  If a=b, then a-c=b-c
• c.  If a=b, then ac=bc
• d.  If a=b, then a/c=b/c

If 3x + y = 14 and y = 9, then 3x + 9 = 14.

• Reflexive Property of Equality
• Symmetric Property of Equality
• Transitive Property of Equality
• Substitution Property of Equality

What is the justification?

• Congruent Complements Theorem

• Angle Bisector Theorem

• Angle Addition Postulate

• Division Property of Equality

If AB=CD and GH=IK, then AB+GH=CD+IK

• Addition Property

• Substitution Property

• Simplify

• None of the above

Given: B is the midpoint of AC. What should you conclude?

• AB + BC = AC

• AB = BC

• A is the segment bisector of BC

• ABC is a straight angle

What is the justification (reason)?

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

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

What is the justification?

• Definition of congruence

• Reflexive Property of Congruence

• Segment Addition Postulate

• Definition of Midpoint