Question

Triangle ABC is reflected across the y-axis to create triangle A' BC. Complete the ordered pair to describe this transformation.

a. A'(−x,y)
b. A' (x,−y)
c. A' (−x,−y)
d. A′(x,y)

Answer 1

When a triangle is reflected across the y-axis, the x-coordinate of each point is negated while the y-coordinate remains the same.

Step-by-step explanation:

When a triangle is reflected across the y-axis, the x-coordinate of each point is negated while the y-coordinate remains the same.

So, for Triangle ABC to be reflected across the y-axis to create Triangle A'BC, the x-coordinate of point A needs to be negated. The y-coordinate of point A remains the same. Therefore, the ordered pair for point A' is (-x, y).

Option a) A'(-x, y) is the correct answer.