Question

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. (3,3)
b. (3,1)
c. (-1,-1)
d. (-3,-1)

Answer 1

A

Explanation:

Answer 2

The line y=1 is the horizontal line passing through the point (0, 1). We have drawn it with red.

The reflection across this line of each point X, Y, and Z is such that the distance of each X, Y, and Z is equal to the distance of each X', Y', and Z', respectively, to the red line.

According to our drawing, we see that the coordinates of X' are (3, 3).

Answer: a.