MULTIPLE CHOICE Question 2 Look at the drawing below. Which of the following statements, if true, would alone prove pllq? Select all that apply. There are at least two correct answers.
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Answer:
no c is right answer
Step-by-step explanation:
angle b and e should be supplementary
Answer:
A, B and C
Step-by-step explanation:
Statement A
According to the Alternate Exterior Angles Theorem, when a transversal line intersects two parallel lines, the resulting alternate exterior angles are congruent.
Given ∠c ≅ ∠f, and as ∠c and ∠f are alternate exterior angles, then p ║ q.
Statement B
According to the Corresponding Angles Postulate, when a straight line intersects two parallel straight lines, the resulting corresponding angles are congruent.
GIven ∠d ≅ ∠g, and as ∠d and ∠g are corresponding angles, then p ║ q.
Statement C
According to the Same-side Interior Angles Theorem, when two parallel lines are intersected by a transversal, the angles that are interior to the parallel lines and on the same side of the transversal line are supplementary.
Given ∠b and ∠e are supplementary, and as ∠b and ∠e are the interior angles on the same side of the transversal [tex]\ell[/tex], then p ║ q.
Statement D
∠f and ∠g are a linear pair, therefore ∠f and ∠g are supplementary. However, this does not given enough information to prove p ║ q.