Suggested languages for you:

Americas

Europe

Q45.

Expert-verified
Found in: Page 416

### Algebra 2

Book edition Middle English Edition
Author(s) Carter
Pages 804 pages
ISBN 9780079039903

# For Exercises 45 and 46, use the following information. You can use midpoints and slope to describe some transformations. Suppose point A is the image when point A is reflected over the line with equation $y=x$.Where is the midpoint of$\overline{AA\text{'}}$?

The midpoint of $\overline{AA\text{'}}$will lie on the line of reflection, that is$y=x$.

See the step by step solution

## Step 1 .Given

Suppose point A’ is the image when point A is reflected over the line with equation $y=x$.

## Step 2 .To determine

We have to find the location of the midpoint of$\overline{AA\text{'}}$.

## Step 3. Calculation

We know for a reflection every point and its image are equidistance from the line of reflection.

That means the midpoint of $\overline{AA\text{'}}$will lie on the line of reflection, that is$y=x$.