Suppose a trapezoid with the vertices (-3, -7), (0, 5), (2, 5), and (5, -7) was reflected across the x-axis.

Drag 2 numbers listed below into appropriate boxes to indicate the coordinates of one of the vertices of the reflected figure.

1 answer

To find the coordinates of the vertices of the trapezoid after reflecting it across the x-axis, we simply change the sign of the y-coordinate while keeping the x-coordinate the same.

The original vertices of the trapezoid are:

  1. (-3, -7)
  2. (0, 5)
  3. (2, 5)
  4. (5, -7)

Now, let's reflect each of these points:

  1. Reflecting (-3, -7) gives us (-3, 7)
  2. Reflecting (0, 5) gives us (0, -5)
  3. Reflecting (2, 5) gives us (2, -5)
  4. Reflecting (5, -7) gives us (5, 7)

So the reflected vertices are:

  1. (-3, 7)
  2. (0, -5)
  3. (2, -5)
  4. (5, 7)

You can pick any of these reflected coordinates depending on which one you want to highlight. For example, one option could be (0, -5). If you need specific numbers for the boxes, you can use the x-coordinates and y-coordinates from any of the reflected points above. Please specify if you need one of the particular ones.