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Q45.

Expert-verified

Algebra 2

Found in: Page 416

Book edition Middle English Edition

Author(s) Carter

Pages 804 pages

ISBN 9780079039903

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Short Answer

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 $\bar{A A'}$ ?

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

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

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 $\bar{A A'}$ .

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 $\bar{A A'}$ will lie on the line of reflection, that is $y = x$ .

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