Triangle xyz is shown on the coordinate plane below:

if triangle xyz is reflected across the line y = 1 to create triangle x'y'z', what is the ordered pair of x'?

a. (1, −5)
b. (1, −3)
c. (1, 3)
d. (1, 5)

option d. (1, 5)

Explanation:

1) The coordinates of X are (1, -3)

2) When you reflect over a line parallel to the y-axis the x-coordinate does not change, so the x-coordinate of X' is 1.

3) The vertical distance between the point X (1, - 3) and the line y = 1 is 1 - (-3) = 1 + 3 = 4.

4) The vertical distance of the point X' has to ve the same, 4, and the point X' will be 4 units over the line y = 1. That leads to y = 1 + 4 = 5.

So the y-coordinate of the point X' is 5.

5) Conclusion the coordinates of the point X' are x = 1, y = 5, i.e.point (1,5)