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=(3-4)/(1--2)=-(1)/(3)`

Slope CD

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

`Slope\text{ =}(0--1)/(1-4)=-(1)/(3)`

Slope BC

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

`Slope=(-1-3)/(4-1)=-(4)/(3)`

Slope AD

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

`Slope\text{ =}(0-4)/(1--2)=-(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