Chapter 1.8, Problem 31E

To determine

To find : Point $O$ is the origin of a coordinate plane. Choose the point $P$ , $Q$ and $R$ so that $O$ , $P$ , $Q$ and $R$ are the corners of the square with the side length of 5 units. Identify the coordinates of $P$ , $Q$ and $R$ . Explain your reasoning.

Answer to Problem 31E

The point coordinate of the point $P$ , $Q$ and $R$ are $\left(5,\text{ 0}\right)$ , $\left(5,5\right)$ and $\left(0,\text{ 5}\right)$ respectively.

Explanation of Solution

Given information :

Consider, the statement provided in the question,

Point $O$ is the origin of a coordinate plane.

Solution :

Since, $O$ , $P$ , $Q$ and $R$ are the corners of the square with the side length of 5 units.

Therefore the coordinate of the point $P$ , $Q$ and $R$ are $\left(5,\text{ 0}\right)$ , $\left(5,5\right)$ and $\left(0,\text{ 5}\right)$ respectively.

Hence,

The point coordinate of the point $P$ , $Q$ and $R$ are $\left(5,\text{ 0}\right)$ , $\left(5,5\right)$ and $\left(0,\text{ 5}\right)$ respectively.