Quadrilateral abcd has coordinates a (3, −5), b (5, −2), c (10, −4), d (8, −7). quadrilateral abcd is a
a). rectangle, because opposite sides are congruent and adjacent sides are perpendicular
b). square, because all four sides are congruent and adjacent sides are perpendicular
c). parallelogram, because opposite sides are congruent and adjacent sides are not perpendicular
d). rhombus, because all four sides are congruent and adjacent sides are not perpendicular

Quadrilateral ABCD has coordinates A (3, −5), B (5, −2), C (10, −4), D (8, −7). Quadrilateral ABCD is a (4 points)

Select one:

a. rectangle, because opposite sides are congruent and adjacent sides are perpendicular

b. square, because all four sides are congruent and adjacent sides are perpendicular

c. parallelogram, because opposite sides are congruent and adjacent sides are not perpendicular

d. rhombus, because all four sides are congruent and adjacent sides are not perpendicular

Explanation:

The slope of line AB is 3/2

The slope of line BC is -2/5

The slope of line CD is 3/2

The slope of line DA is -2/5

This means AB and CD are parallel and BC and DA are parallel

The slope has to be the reciprocal for the lines to be perpendicular. They are not.

The distance of line AB and line DC is the square root of 29

The distance of line BC and DA is the square root of 13