Proofs, Parallel Lines, and Angle Pairs Review

Complete the Proof.

a

b

c

d

e

f

Segment Addition Postulate

Substitution Property

Addition Property of Equality

Definition of Congruent

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

• Substitution Property

• Vertical Angle Theorem

• Given

• Linear Pair Postulate

• Diagram

• Same Side Interior Angle Theorem

• Transitive Property

• Corresponding 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

• Linear Pair Postulate

• Given

• Vertical Angle Theorem

• Corresponding Angle Converse Theorem

• Diagram

• Substitution Property

• Alternate Exterior Angle Converse Theorem

• Transitive 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

• Diagram

• Transitive Property

• Linear Pair Postulate

• Given

• Alternate Interior Angle Theorem

• Substitution Property

• Vertical Angle Theorem

• Corresponding 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

• Transitive Property

• Given

• Vertical Angle Theorem

• Congruent Supplement Theorem

• Diagram

• Alternate Interior Angle Converse Theorem

• Corresponding Angle Converse Theorem

• Linear Pair Postulate

• 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