Question

Determine if a quadrilateral with the given vertices is an isosceles trapezoid. Show and explain all steps to prove or disprove.

A(-4,1) B(-4, 6) C(2, 4) D(2,3)

Answer 1

AB has a slope of 6-1/ -4 - (-4) = 5/0 which is undefined because there is a zero at the bottom.

BC has a slope of 4-6/2- (-4)= -2/6

CD has a slope of 3-4/ 2-2= -1/0 which is also undefined

AD has a slope of 3-1/ 2- -(4) = 2/6

THERE is 1 pair of parallel sides so the shape is indeed a trapezoid

BC=
`\sqrt2-(-4)^2 +(4-6)^2 = \sqrt36+4 = \sqrt40`

AD=
`\sqrt2-(-4)^2 + (3-1)^2 = \sqrt36+4 = \sqrt40`

They are equal in length which means the trapezoid is isosceles

Explanation:

Answer 2

Explanation:

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