Proofs, Parallel Lines, and Angle Pairs Review

Complete the Proof.

a

b

c

d

e

f

Definition of Congruent

Addition Property of Equality

Segment Addition Postulate

Substitution Property

Sort the appropriate statements and reasons into the correct order to complete the proof. Put unused parts into the unused category.

Groups:

(a) Statements

,

(b) Reasons

,

(c) Not Used

• Corresponding Angle Theorem

• Transitive Property

• Vertical Angle Theorem

• Linear Pair Postulate

• Same Side Interior Angle Theorem

• Substitution Property

• Diagram

• Given

Sort the appropriate statements and reasons into the correct order to complete the proof. Put unused parts into the unused category.

Groups:

(a) Statements

,

(b) Reasons

,

(c) Not Used

• Corresponding Angle Converse Theorem

• Vertical Angle Theorem

• Given

• Linear Pair Postulate

• Transitive Property

• Diagram

• Alternate Exterior Angle Converse Theorem

• Substitution Property

Sort the appropriate statements and reasons into the correct order to complete the proof. Put unused parts into the unused category.

Groups:

(a) Statements

,

(b) Reasons

,

(c) Not Used

• Given

• Transitive Property

• Vertical Angle Theorem

• Diagram

• Corresponding Angle Theorem

• Substitution Property

• Linear Pair Postulate

• Alternate Interior Angle Theorem

Sort the appropriate statements and reasons into the correct order to complete the proof. Put unused parts into the unused category.

Groups:

(a) Statements

,

(b) Reasons

,

(c) Not Used

• Diagram

• Alternate Interior Angle Converse Theorem

• Given

• Linear Pair Postulate

• Transitive Property

• Congruent Supplement Theorem

• Vertical Angle Theorem

• Corresponding Angle Converse Theorem

• 53
• vertical angle
• 127
• linear pair
• corresponding angle
• alternate interior angle
• same side interior angle
• alternate exterior angle
• same side exterior angle

• 53
• vertical angle
• 127
• linear pair
• corresponding angle
• alternate interior angle
• same side interior angle
• alternate exterior angle
• same side exterior angle

• 53
• vertical angle
• 127
• linear pair
• corresponding angle
• alternate interior angle
• same side interior angle
• alternate exterior angle
• same side exterior angle

• 53
• 127
• linear pair
• corresponding angle
• alternate interior angle
• same side interior angle
• alternate exterior angle
• same side exterior angle
• vertical angle

• 53
• 127
• corresponding angle
• alternate interior angle
• same side interior angle
• alternate exterior angle
• same side exterior angle
• vertical angle
• linear pair