Congruences Parallel Line

Why is ∠KJM ≌∠LMJ?

• Alternate Exterior angles are congruent

• Alternate Interior Angles are congruent

• Corresponding Angles are Congruent

• Consecutive Interior angles are supplementary

• Transistive

• Substitution

• Def. of Cong.

Supply the first statement.

• m ll n

• < 4 = < 6

• Given

• Definition of parallel lines

Supply the third reason.

• Vertical Angle Theorem

• Corresponding Angles Postulate

• Alternate Interior Angles Postulate

• Same Side Interior Angles Theorem

The last statement is <4 = <6. What is the last reason

• Prove

• Definition of congruent angles

• Transitive Property

• Alternate Interior Angles Theorem

What is the statement for step 2?

Supply the second reason.

• Linear Pair Postulate

• Alternate Interior Angles Theorem

• Vertical Angles Theorem

• Corresponding Angles Postulate

If ∠1 ≅ ∠3, then ________.

• 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

If ∠1 ≅ ∠3, which of the following can be used to determine lines are parallel?

• Corresponding Angles Converse

• Alternate Interior Angles Converse

• Alternate Exterior Angles Converse

• Interiors on Same Side Converse

• None of the above

If ∠9 ≅ ∠12, then ________.

• 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