Question

Use the image to answer the question.

A coordinate plane shows the x- and y- axes ranging from negative 16 to 16 in increments of 2. The point left parenthesis 12 comma negative 10 right parenthesis is plotted on the plane.

The point (12, −10)
is reflected across the x
-axis. In what quadrant is the reflected point located?

(1 point)
Responses

Quadrant II
Quadrant II

Quadrant I
Quadrant I

Quadrant IV
Quadrant IV

Quadrant III
Quadrant III
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1 answer

To find the reflection of the point (12, -10) across the x-axis, we need to change the sign of the y-coordinate. The reflected point will be (12, 10).

Now let's determine the quadrant of the point (12, 10):

  • The x-coordinate (12) is positive.
  • The y-coordinate (10) is positive.

In the coordinate plane, points with positive x and positive y coordinates lie in Quadrant I.

Therefore, the reflected point (12, 10) is located in Quadrant I.