Proving Lines Parallel

Given: AB // DC and m?2 ? m?4
Prove: AD // BC

m?1 + m?4 = 180�

Which lines are parallel? Justify your answer. (110,110,80)

Lines a and b are parallel because their corresponding angles are congruent.

In the diagram, g ? h, m?1 = (4x + 36)�, and
m?2 = (3x - 3)�.
What is the measure of ?3?

60

Parallel lines e and f are cut by transversal b.
What is the value of x?

25

Which diagram shows lines that must be parallel lines cut by a transversal?

B (91, 91)

Parallel lines e and f are cut by transversal b.
What is the value of y?

130

Which lines are parallel? Justify your answer.
(75, 75, 115)

Lines e and f are parallel because their alternate exterior angles are congruent.

Lines c and d are parallel lines cut by transversal p.
Which must be true by the corresponding angles theorem?

?2 ? ?6

Letters a, b, c, and d are angles measures.
Which equation is enough information to prove that lines m and n are parallel lines cut by transversal p? Check all that apply.

a = d
c = d
b + d = 180�

Which set of equations is enough information to prove that lines a and b are parallel lines cut by transversal f?

m?1 = 110� and m?3 = 70�