Question

In the coordinate plane, the points X9, 5, Y−−3, 6, and Z−8, 4 are reflected over the x-axis to the points X′, Y′, and Z′, respectively. What are the coordinates of X′, Y′, and Z′?

Answer 1

When a point is reflected over the x-axis, the x-coordinate remains the same, but the y-coordinate is multiplied by -1.

So, the coordinates of X' are (9, -5) since the x-coordinate remains the same and the y-coordinate is multiplied by -1.

Similarly, the coordinates of Y' are (-3, -6) and the coordinates of Z' are (-8, -4).

Therefore, X′ is (9,−5), Y′ is (−3,−6), and Z′ is (−8,−4).