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Pearson Geometry Common Core, 2011

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Pearson Geometry Common Core, 2011 View details

Mid-Chapter Quiz

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Exercise 7 Page 577

Plot the given point and draw the given line of reflection on the coordinate plane. Then draw a line through this point that is perpendicular to the given line of reflection.

The reflection image is the point (- 5,- 3).

Practice makes perfect

To find the coordinates of a point reflected across a line, we need to follow a few steps.

Step 1: Plot the preimage point and the line of reflection on the coordinate plane.
Step 2: Draw a line that is perpendicular to the given line of reflection and passes through the preimage point.
Step 3: Measure the distance from the preimage point to the line. Then locate the reflected image the same distance from line the given line on the opposite side.

Let's do it!

Step 1

We will begin by plotting the given point (5,- 3). Since the given reflection is R_(y -axis), we will identify the y -axis as the line of reflection.

Step 2

Now, we will draw a line that is perpendicular to y-axis and passes through (5,- 3).

If you need further explanation on how to draw a line that passes through a given point and is perpendicular to a given line, please refer to this explanation.

Step 3

Finally, we can measure the distance from the preimage (5, - 3) to the line of reflection and locate the reflected image the same distance from the given line on the opposite side.

As we can see, (- 5,- 3) are the coordinates of the point after a reflection across the y-axis.