Proving Geometric Relationships

Find the value of x.

Mathematical Equivalence

OFF

Find the value of y.

Mathematical Equivalence

OFF

Since <1 & <2 are supplementary and <2 & <3 are supplementary, what math rule allows you to say that <1 & <3 are congruent?

• The congruent supplements Theorem

• The congruent complements Theorem

• The linear pair Theorem

• The vertical angle Theorem

Why are <1 & <2 congruent?

• That was part of the given information.

• vertical angles theorem

• substitution property of congruence

• transitive property of congruence

Why are <2 & <3 congruent?

• That was part of the given information.

• vertical angles theorem

• substitution property of congruence

• transitive property of congruence

Which property justifies the next step?

• Symmetric Property

• Segment Addition Postulate

• Definition Midpoint

• Definition Congruence

Which property justifies the next step?

• Definition Congruence

• Segment Addition Post

• Transitive Property

• Definition Equality

AB + BC = AC is justified by which option below?

• Angle Addition Postulate

• Addition Property

• Segment Addition Postulate

• Theorem 22C

• F

• G

• H

• J

For the proof shown, provide statement 5.

• AB=EF

• AB=DE

• AC=DF

• BF=DF