Question

If triangle XYZ is reflected across the line y = 1 to create triangle X′Y′Z′, what is the ordered pair of X′?

Answer 1

X'(1, 5 )

Explanation:

y = 1 is a horizontal line parallel to the x- axis and passing through points with a y- coordinate of 1

X(1, - 3 ) is 4 units below this line ( 1 - (- 3) = 4 ), thus its reflection will be 4 units above the line.

The x- coordinate remains unchanged.

y - coordinate of X' = 1 + 4 = 5

X' = (1, 5 )