Question

Use the image to answer the question.

Triangle upper X upper Y upper Z and a dotted line are graphed on a coordinate plane. The x- and y-axes range from negative 7 to 7 in increments of 1. The dotted line is labeled axis of reflection and follows y equals 1.

Find the coordinates of Z′ after a reflection across y=1.

(1 point)
Responses

Z′(−4,2)
upper Z prime left parenthesis negative 4 comma 2 right parenthesis

Z′(4,0)
upper Z prime left parenthesis 4 comma 0 right parenthesis

Z′(6,2)
upper Z prime left parenthesis 6 comma 2 right parenthesis

Z′(−4,0)

Answer 1

Based on the image, the coordinates of Z are (4, 2). Since we are reflecting across the line y = 1, the y-coordinate remains the same while the x-coordinate becomes its opposite.

Therefore, Z′ has the coordinates (-4, 2).