Determine the most precise name for quadrilateral ABCD. Explain. A(0,2), B(4,2), C(-3,-4), D(-7,-4).

Answer 1

Per the distance formula,

AB = 4

BC = sqrt(85)

CD = 4

AD = sqrt(85)

So opposite sides are congruent.

slope of AB is 0

slope of BC is 6/7

slope of CD is 0

slope of AD is 6/7

So opposite sides are parallel.

Adjacent sides are NOT perpendicular.

Parallelogram