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Question

A coordinate plane shows the x- and y- axes ranging from negative 20 to 20 in increments of 2. The point left parenthesis negative 16 comma 11 right parenthesis is plotted on the plane.

The point (−16, 11)
is reflected across the x
- and y
-axes. In what quadrant is the reflected point located?

(1 point)
Responses

Quadrant I
Quadrant I

Quadrant III
Quadrant III

Quadrant II
Quadrant II

Quadrant IV
Quadrant IV
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Answer 1

To determine the quadrant of the reflected point across the x- and y-axes, we start with the original point \((-16, 11)\).

1. Reflecting across the x-axis:

   • The x-coordinate stays the same, while the y-coordinate changes sign.
   • This gives us the point \((-16, -11)\).

2. Reflecting across the y-axis:

   • The y-coordinate stays the same, while the x-coordinate changes sign.
   • This gives us the point \((16, -11)\).

Now, let's determine the quadrant of the final reflected point \((16, -11)\):

• The x-coordinate \(16\) is positive.
• The y-coordinate \(-11\) is negative.

This means the point \((16, -11)\) is located in Quadrant IV, where x is positive and y is negative.

So the answer is:

Quadrant IV.