Question

(PLEASE ANSWER ASAP I WILL GIVE 50 PIONTS.)

Which of the following is the fourth vertex needed to create a rectangle with vertices located at (–5, 3), (–5, –7), and (5, –7)?

(5, –3)
(5, 3)
(–5, 7)
(–5, –3)

Answer 1

The fourth vertex needed to create a rectangle with vertices located at (−17, 15), (−17, −7), and (−5, −7) is (-5, 15).

Explanation:

Rectangle is a two dimensional figure which has four sides and four angles and all the angles are right angles.

Given three vertices, let it be A, B and C.

A(-17, 15), B(-17, -7) and C(-5, -7).

Let D be the point required.

By looking at other points, we can see that the sides of a rectangle will be parallel to the axes.

So, we know that the fourth point must have the same y coordinate as that of A and has same x coordinate as that of C.

So the forth vertex D is (-5, 15).

Hence the forth vertex is (-5, 15).