Question

The ordered pair ( -3, 7) represents Point P on a coordinate grid. Which ordered pair represents the reflection of Point P across the y-axis?

Group of answer choices

(7, -3)

(-3, -7)

(-7, 3)

(3, 7)

Answer 1

(3, 7) is the correct answer

Answer 2

(3, 7)

Explanation:

A point that is reflected over the y-axis only moves horizontally. The new point is at the same distance to the x-axis as the original point, so the y-coordinates are equal.

Since it is on the other side of the y-axis, the distance to the x-axis is euqal to the original distance. The x-coordinate sign changes.

Point (x, y) reflected over the y-axis is point (-x, y).

Here, point (-3, 7) reflected over the y-axis is point (3, 7).

Answer: (3, 7)