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Chapter 8: Q45. (page 416)

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 ofAA'炉?

Short Answer

Expert verified

The midpoint of AA'炉will lie on the line of reflection, that isy=x.

Step by step solution

01

.Given

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

02

.To determine

We have to find the location of the midpoint ofAA'炉.

03

Step 3. Calculation

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

That means the midpoint ofAA'炉will lie on the line of reflection, that isy=x.

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