Question

The following set of coordinates represents which figure?

(3, -5), (5, -2), (10, -4), (8, -7)

A. parallelogram
B. rectangle
C. trapezoid
D. square
...?

Answer 1

Option A is correct.

Explanation:

Given:

Coordinates of the figure are ( 3 , -5 ) , ( 5 , -2 ) , ( 10 , 4 ) and ( 8 , -7 )

To find: Shape of the figure.

First we plot the given coordinates of the point on the graph then see which shape we obtained.

Graphing these points we get attached graph.

Clearly from graph it is a parallelogram because opposite sides are equal and parallel.

It is not a rectangle as clearly from graph angles at vertex are not right angle.

Therefore, Option A is correct.

Answer 2

"Parallelogram" is the one figure among the following choices given in the question that the following set of coordinates represent. The correct option among all the options that are given in the question is the first option or option "A". I hope that this is the answer that you were looking for and the answer has helped you.