## Posts Tagged ‘point is symmetric’

## Problem 665

What point is symmetric with respect to the y-axis to the point?

**Solution:-**

Recall for any point (x,y), the point symmetric about the y-axis to (x,y) is the point (-x,y).

If two point are symmetric about the y-axis, then the point have the same y-coordinate and opposite x-coordinates. Replace the x-coordinate of the given point with its opposite.

Identify the x-coordinate of the given point

X =

If x = , than the opposite of x, -x, = –.

Therefore , the point symmetric to the point with respect to the y-axis is