Question

Find the mirror image of (7, 25) about x - axis.

Answer 1

Answer:

The mirror image is (7, -25)

Step-by-step explanation:

According to the cartesian plane-

1. In the first quadrant, both the x-axis and y-axis are positive.
2. In the second quadrant, the x-axis is negative but the y-axis is positive.
3. In the third quadrant, both the x-axis and y-axis are negative.
4. In the fourth quadrant, the x-axis is positve, but the y-axis is negative.

Mirror image with respect to x-axis: In this case, the image of P (x,y) becomes P (x, -y). Thus, to find the image of any point along the x-axis, we keep the x-coordinate same, and a sign of y-coordinate gets changed. Any point on the mirror remains the same.

For example- (2,3) becomes (2,-3), (4,-3) becomes (4,3)

Mirror image with respect to y-axis: In this case, the image of P (x,y) becomes P (-x,y). Thus, to find the image of any point with respect to the y-axis, we keep the y-coordinate same, and a sign of x-coordinate gets changed.

For example- (2,3) becomes (-2,3), (-4,3) becomes (4,3)

Thus, the mirror image for (7, 25) with respect to the x-axis is (7, -25)

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