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Carla and Jonah are working together to determine if quadrilateral CDEF with coordinates C(2, 3), D(1, 2), E(4, 1), and F(5, 3) has parallel sides.

Carla sets up the following equations:
slope of segment CD equals 2 minus 3 all over 1 minus 2
slope of segment DE equals 1 minus 2 all over 4 minus 1

Jonah sets up the following equations:
slope of segment CD equals 2 minus 3 all over 1 minus 2
slope of segment EF equals 3 minus 1 all over 5 minus 4

Who is on track to get the correct answer, and why? (4 points)

A. Carla is on the right track because she is finding the slopes of the opposite sides to check for parallel sides.

B. Carla is on the right track because she is finding the slopes of consecutive sides to check for parallel sides.

C. Jonah is on the right track because he is finding the slopes of the opposite sides to check for parallel sides.

D. Jonah is on the right track because he is finding the slopes of consecutive sides to check for parallel sides.

Sagot :

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