me fast so that I will give Upvote. Transcribed Image Text: Postulates:

Properties of Congruence:

Angle Addifion Postulate

Refleive Property

Symmetric Property

Transifive Property

Theorems:

Vertical Angles Theorem

Complement Theorem

Linear Pair (Supplement) Theorem

Congruent Complements Theorem

Congruent Supplements Theorem

Definitions:

Definition of Congruence

Definition of a Right Angle

Definition of Complementary Angles

Definition of Supplementary Angles

Definition of an Angle Bisector

Definition of Perpendicular

S GUIDE

ANGLE PROOFS GUIDE

ocomplete proots 1-6.

nfor each prool.

Directions: Use the reasons below to complete proofs 1-6.

Cross them off as you use them for each proof.

ear Poir (Supplement)

• Linear Por (Supplement)

Theorem

• Definition of a Right Angle

• Definition of

Complementary Angles

. Given

Transitive Property

• Angle Addition Postulate

screm

• Substitution

Given

Dstitution

wen

Anition of Supplementary

oles

nition of Congruence

trillion of Supplementary

gles

wen

• Definition of Suppiementary

Angles

Defniton of Congruence

• Definition of Supplementary

Angles

• Given

drilion of Angie Bisector

won

wen

nsitive Property

dnition of Angle Boector

Given

• Congruent Complements

Theorem

. Complement Theorem

• Given

• Definition of Complementary

Angles

Definition of Angle Bsector

• Given

• Given

• Transitive Property

• Definition of Angle Bisector

linition of Congruence

ansitive Property

btraction Properny

wfinition of Complementary

ges

afeiton of Congruence

bstuton

alinition of Complementary

ngles

• Angle Addition Postulate

. Given

. Substitution

Delinifion of Congruence

Angle Addition Postulate

• harsitive Property

Defrition of Congruence

• Definition of Congruence

• Transitive Property

• Subtraction Property

• Defnition of Complementary

Angles

• Definition of Congruence

• Substitution

• Definition of Complementary

Angles

• Given

• Vertical Angles Theorem

• Given

Ven

articol Angles Theorem

ven

ANGs Transcribed Image Text: Given: 22 3: 21 and 22 form a linear par

Prove: 1 and 23 are supplementary

Statements

Reosons

1. 223

1.

2. m22= m23

2.

3. Z1 and 22 form a linear pair

4. Z1 and 2 are supplementary

3.

4.

5. m21 + m2 180

5.

6. m2l + m23 180

6.

7. 21 and 23 are supplementary

7.