Question

Example:

Answer 1

Answer:

AB // CD and AD // BC, then ABCD is a parallelogram

Step-by-step explanation:

Step 2: Show AD // BC

A = (-3 , 3) and D = (0 , 0)

Find the slope of AD

$m_{AD}=\frac{0-3}{0--3}=\frac{-3}{3}=-1$

B = (2 , 5) and C = (5 , 2)

$m_{BC}=\frac{2-5}{5-2}=\frac{-3}{3}=-1$

The slope of AD = the slope of BC

So AD // BC because they have the same slope

Step 3:

Each two opposite sides are parallel in quadrilateral ABCD

So the quadrilateral is a parallelogram