Congruences Parallel Line

Alternate Exterior angles are congruent

Alternate Interior Angles are congruent

Corresponding Angles are Congruent

Consecutive Interior angles are supplementary

Transistive

Substitution

Def. of Cong.

m ll n

< 4 = < 6

Given

Definition of parallel lines

Vertical Angle Theorem

Corresponding Angles Postulate

Alternate Interior Angles Postulate

Same Side Interior Angles Theorem

Prove

Definition of congruent angles

Transitive Property

Alternate Interior Angles Theorem

$$<c\cong<k$$

$$<c\cong<p$$

$$<p\cong<k$$

$$<d\cong<m$$

Linear Pair Postulate

Alternate Interior Angles Theorem

Vertical Angles Theorem

Corresponding Angles Postulate

line c is parallel to line d

line a is parallel to line b

Cannot determine 2 lines to be parallel.

line c is parallel to line a

line b is parallel to line d

Corresponding Angles Converse

Alternate Interior Angles Converse

Alternate Exterior Angles Converse

Interiors on Same Side Converse

None of the above

line a is parallel to line b

line d is parallel to line c

none of the lines can be determined to be parallel.

line a is parallel to line d

line c is parallel to line b