Proofs, Postulates, Theorems

Complete the conclusion by filling in missing information.

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

a

b

Substitution Postulate

Definition of Angle Bisector

Angle Addition Postulate

Definition of Supplementary

Transitive Property

Supplementary

Complementary

Complete the conclusion by filling in missing information.

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

a

d

+

Right Angles Theorem

Definition of Angle Bisector

Definition of Linear Pair

Angle Addition Postulate

Definition of Supplementary

Definition of Congruent

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

a

b

j

Linear Pair

Right Angles Theorem

Right Angle

Complementary Pair

Definition of Congruent

Definition of Linear Pair

Definition of Angle Bisector

Angle Addition Postulate

Complete the conclusion by filling in missing information.

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

a

b

Definition of Angle Bisector

Supplementary

Right Angle Theorem

Definition of Congruent

Complementary

Linear Pair Postulate

Vertical Angles Theorem

Complete the conclusion by filling in missing information.

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

a

b

Definition of Complementary

Angle Addition Postulate

Transitive Property

Definition of Angle Bisector

Angle Bisector

Definition of Congruent

Complete the conclusion by filling in missing information.

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

a

b

Complementary

Symmetric Properety

Supplementary

Definition of Complementary

Vertical Angle Theorem

Angle Addition Postulate

Substitution Postulate

Transitive Property

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

a

b

c

Definition of Linear Pair

Angle Addition Postulate

Substitution Postulate

Vertical Angles Theorem

Definition of Congruent

Definition of Angle Bisector

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

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

• undefined andundefined are right angles.