The image of a point P(x, y) when reflected in the origin is ___

(-x, y)

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(x, -y)

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(-x, -y)

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(0, -y)

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Solution

The correct option is C
(-x, -y)

When reflected through the origin, both the coordinates will change their sign i.e. (x, y) becomes (-x, -y) or (-x, -y) becomes (x, y) depending upon the sign. For an example, if we have, the coordinates (-2, 6) its reflection through the origin gives us (2, -6) as a resultant point.

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Similar questions

The image of a point P(x, y) when reflected in the X-axis is ___.

P and Q have co-ordinates (0, 5) and (-2, 4).

(a) P is invariant when reflected in an axis. Name the axis.

(b) Find the image of Q on reflection in the axis found in (a)

(d) Write the co-ordinates of the image of Q, obtained by reflection it in the origin followed by reflection in x-axis.

The image of a point P(x, y) when reflected in the Y axis is ___

Point A (x, 5) is reflected in the origin and its image is (2, y). Write down the values of x and y.

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