Question

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 a right angle.

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?

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

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

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

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

Answer 1

Answer: b

Explanation:

yes

Answer 2

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

Explanation:

You want to know if Carla or Jonah has the right approach to determining whether quadrilateral CDEF has a right angle.

Carla

Carla is finding the slopes of segments CD and DE. These are consecutive sides, so the slopes will tell if they are perpendicular.

Carla is on the right track because she is finding the slopes of consecutive sides, choice B.

Jonah

Jonah is finding the slopes of segments CD and EF. These are opposite sides of the quadrilateral, so their slopes will tell nothing about the angles between consecutive sides.

Jonah is not on the right track.

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Additional comment

The calculations of slope that each is doing are the correct calculations for their approach. Jonah's mistake is in the approach, not in the math.

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