Problem 1112

What point is symmetric with respect to the y-axis to the point (\frac{\sqrt{3}}{2},-\frac{1}{2}) ?

 

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 points 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, (\frac{\sqrt{3}}{2},-\frac{1}{2}).

x = \frac{\sqrt{3}}{2}

If x = \frac{\sqrt{3}}{2},then the opposite of x, -x = – \frac{\sqrt{3}}{2}

Therefore , the point symmetric to the point (\frac{\sqrt{3}}{2},-\frac{1}{2}) with respect to the y-axis is (-\frac{\sqrt{3}}{2},-\frac{1}{2}).

 

 

 

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