Question

PLEASE HELP I WANT TO GRADUATE EARLY

Points A(-3, -3) B(-2, 2) C (3, 3), and D(2, -2) are the vertices of a quadrilateral
A- use the distance formula to determine the length of each side of the quadrilateral. Show your work
B- explain whether the quadrilateral is a rhombus

Answer 1

See explanation

Explanation:

Points A(-3, -3), B(-2, 2), C(3, 3), and D(2, -2) are the vertices of a quadrilateral.

Find lengths of the sides as distances between points:

`AB=√((-2-(-3))^2+(2-(-3))^2)=√(1^2+5^2)=√(26)\ units\\ \\BC=√((3-(-2))^2+(3-2)^2)=√(5^2+1^2)=√(26)\ units\\ \\CD=√((2-3)^2+(-2-3)^2)=√(1^2+5^2)=√(26)\ units\\ \\AD=√((2-(-3))^2+(-2-(-3))^2)=√(5^2+1^2)=√(26)\ units`

Since all lengths of sides are the same, quadrilateral ABCD is the rhombus.