Proving Lines Parallel – Flashcards
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Given: AB // DC and m∠2 ≅ m∠4
Prove: AD // BC
answer
m∠1 + m∠4 = 180°
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Which lines are parallel? Justify your answer. (110,110,80)
answer
Lines a and b are parallel because their corresponding angles are congruent.
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In the diagram, g ∥ h, m∠1 = (4x + 36)°, and
m∠2 = (3x - 3)°.
What is the measure of ∠3?
answer
60
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Parallel lines e and f are cut by transversal b.
What is the value of x?
answer
25
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Which diagram shows lines that must be parallel lines cut by a transversal?
answer
B (91, 91)
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Parallel lines e and f are cut by transversal b.
What is the value of y?
answer
130
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Which lines are parallel? Justify your answer.
(75, 75, 115)
answer
Lines e and f are parallel because their alternate exterior angles are congruent.
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Lines c and d are parallel lines cut by transversal p.
Which must be true by the corresponding angles theorem?
answer
∠2 ≅ ∠6
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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.
answer
a = d
c = d
b + d = 180°
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Which set of equations is enough information to prove that lines a and b are parallel lines cut by transversal f?
answer
m∠1 = 110° and m∠3 = 70°
