1. Show that ABCD is a trapezoid.

(A: (-2, 5); B: (4, 5); C: (6,2); D: (2, -1)).

2. Write an equation in slope-intercept form for the line that passes through (5,0) and is perpendicular to the line given by y = -5/2x + 6.

4 answers

2)
m = 2/5

y = mx + b

0 = (2/5)(5) + b

0 = 2 + b
b = -2

y = 2x/5 -2
in a trapezoid, one pair of opposite sides are parallel
Make a sketch

slope BC = (5-2)/(4-6) = 3/-2 = - 3/2
slope AD = (5-(-1))/)-2-2) = 6/-4 = -3/2

Yup, it is

I didn't check for the other pair
I could see that AB is horizontal, since both points have the same y value, which was not true for DC
How do I show that ABCD is a trapezoid, then?
AB = (5-5) /(4-(-2) = 0/6 = 0
AB is horizontal

BC = (2-5)/(6-4) = -3/2

CD = (-1-2)/(6-2) = -3/4

CD is not true

AD = (-1-5)/(2-(-2) = -6/4 = -3/2

So one pairs
Similar Questions
  1. Trapezoid ABCD is formed byA(–7,3), B(–5,6), C(0,6), and D(0,3). Determine the length of the diagonal AC in trapezoid ABCD.
    1. answers icon 4 answers
  2. Trapezoid ABCD is formed byA (–7,3) B (–5,6) C (0,6), and D (0,3).Determine the length of the diagonal AC in trapezoid ABCD.
    1. answers icon 2 answers
    1. answers icon 1 answer
  3. Trapezoid ABCD is dilated to create trapezoidby a scale factor of 1/2 . Find the perimeter and area of both figures. Dilation of
    1. answers icon 1 answer
more similar questions