Proofs, Postulates, Theorems

• Angle Addition Postulate

• Linear Pair Postulate

• Ruler Postulate

• Segment Addition Postulate

• Angle Addition Postulate

• Linear Pair Postulate

• Ruler Postulate

• Segment Addition Postulate

• Congruent Complements Theorem

• Congruent Supplements Theorem

• Right Angles Congruence Theorem

• Vertical Angles Congruence Theorem

XY+YZ=XZ

• Angle Addition Postulate

• Linear Pair Postulate

• Ruler Postulate

• Segment Addition Postulate

• Congruent Complements Theorem

• Congruent Supplements Theorem

• Right Angles Congruence Theorem

• Vertical Angles Congruence Theorem

If KL=RT then _____

• RT=KL

• KL=KL

• 4KL=4RT

• KL+C=RT+C

Complete the statement using the addition property:

If AB=CD then AB+EF=_____

• CD+EF

• AB+CD

• CD-AB

• AB+EF

Complete the statement using the Transitive Property:

If JK=FG and FG=NM then ____

• JK=NM

• FG=FG

• JK+FG=NM+FG

• JK-FG=NM-FG

Complete the conclusion by filling in missing information. Use one of the theorems, postulates, or definitions to fill in the REASON.

a

b

Angle Addition Postulate

Right Angles Theorem

Definition of Complementary Angles

Vertical Angles Theorem

Linear Pair Postulate

Complete the conclusion by filling in missing information.

Use one of the theorems, postulates, or definitions to fill in the REASON.

a

b

Vertical Angles Theorem

Right Angle Theorem

Definition of Angle Bisector

Angle Addition Postulate

Definition of Complementary Angles