Question

Points A(-2, 4). B(1.3), C(4, -1) and D form a parallelogram. What are the coordinates of D?A. (5.5)B. (0,0)C. (1.-2)D. (1,0)E. (3,4)

Answer 1

Recall: The properties of the parallelogram: each two opposite sides are parallel.

The slopes of parallel lines are equal

slope to check AB

A(-2, 4). B(1.3)

$Slope=\frac{3-4}{1--2}=-\frac{1}{3}$

Slope CD

c(4,-1) D(1,0)

$Slope\text{ =}\frac{0--1}{1-4}=-\frac{1}{3}$

Slope BC

. B(1.3), C(4, -1)

$Slope=\frac{-1-3}{4-1}=-\frac{4}{3}$

Slope AD

A(-2,4) D(1,0)

$Slope\text{ =}\frac{0-4}{1--2}=-\frac{4}{3}$

Since AB is parralel to BC

and

BC is parrel to AD

Therefore, it is correct option D(1,0)

The final answer

Option D