In the coordinate plane, quadrilateral ABCD has vertices with coordinates A(1,−1), B(−5,3), C(−3,6), and D(3,2). Part A: Compute the lengths of the sides of quadrilateral ABCD.

The lengths are AB 2 cm, BC cm, CD 2 cm and DA cm

Step-by-step explanation:

Given,

The vertices of quadrilateral are A(1,-1), B(-5,3), C(-3,6) and D(3,2)

To find the lengths of the sides of ABCD

Formula

The length of two points (x1,y1) and (x2,y2) is

So,

AB ⇒ cm = cm = 2 cm

BC ⇒ cm = cm

CD ⇒ cm = cm = 2 cm

DA ⇒ cm = cm