• :00Days
• :00Hours
• :00Mins
• 00Seconds
A new era for learning is coming soon Suggested languages for you:

Europe

Answers without the blur. Sign up and see all textbooks for free! Q. 12

Expert-verified Found in: Page 14 ### Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465 # True or False The midpoint of a line segment is found by averaging the x-coordinates and averaging the y-coordinates of the endpoints.

The given statement is true.

See the step by step solution

## Step 1. Given information.

The given statement is:

The midpoint of a line segment is found by averaging the x-coordinates and averaging the y-coordinates of the endpoints.

We need to check whether the given statement is true or false.

## Step 2. Determine whether the statement is true or false.

The midpoint of a line segment with endpoints $\left({x}_{1},{y}_{1}\right)$ and $\left({x}_{2},{y}_{2}\right)$ is:

$\text{Midpoint}=\left(\frac{{x}_{1}+{x}_{2}}{2},\frac{{y}_{1}+{y}_{2}}{2}\right)$

It is clear that, the midpoint of a line segment is found by averaging the x-coordinates and averaging the y-coordinates of the endpoints.

## Step 3. Conclusion.

The given statement is true. ### Want to see more solutions like these? 