Proving Lines Parallel
What must be the value of x so that lines a and b are parallel lines cut by transversal f? The value of x is ______
22
Lines a and b are parallel and lines e and f are parallel. What is the value of x?
82
Lines a and b are parallel and lines e and f are parallel. If m<1 = 89°, what is the measure of <5? m<5 = ________
91°
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 lines are parallel? Justify your answer.
a. Lines a and b are parallel because their corrresponding angles are congruent.
Letters w, x, y, and z are angle measures. Which should equal 92° to prove that r || s?
a. w
In the diagram, g || h, m<1 = (4x + 36)°, and m<2 = (3x - 3). What is the measure of <3?
b. 60°
Lines c and d are parallel lines cut by transversal p. Which must be true by corresponding angles theorem?
b. <2 ~= <6
Which diagram shows lines that must be parallel lines cut by a transversal?
b. diagram 2
Parallel lines e and f are cut by transversal b. What is the value of y?
c. 130
Parallel lines e and f are cut by transversal b. What is the value of x?
c. 25
Which lines are parallel? Justify your answer.
c. Lines e and f are parallel because their alternate exterior angles are congruent.
Given: AB || DC and m<2 ~= m<4 Prove: AD || BC 4. ?
c. m<1 + m<4 = 180°
Given the information in the diagram in the diagram, which theorem best justifies why lines i and k must be parallel?
d. converse alternate exterior angles theorem
Letters a, b, c, and d are angle measures. Which should equal 105° to prove that f || g?
d. d