## Question

**The area of a square I 41 square units. Two of its vertices are located at (0,-3) and (4,2).**

**Select the point that could be a third vertex of this square.**

A. (0,7)

B. (-5,1)

C.(5,13)

D.(-2,-2)

E.(4,-6)

## Answer (Expert Verified)

The **vertices **of the** square** are the coordinates of the **endpoints**

The **third vertex **of the **square **could be (0,7) or (-5,1)

### How to determine the third vertex

Two **vertices **of the **square **are:

(0,-3) and (4,2)

Calculate the **distance **between these** vertices** using:

Square both sides

The above expression represents the **area** of the** square**.

So, we have:

Next, we test the options with the given **vertices **(0,-3) and (4,2)

So, we have:

**A. (0,7)**

**B. (-5,1)**

**C.(5,13)**

**D.(-2,-2)**

**E.(4,-6)**

The **vertices **where at least one of the** equations** is true could be a **third vertex **of the **square**

Hence, a **third vertex **of the **square **could be (0,7) or (-5,1)