Question

Find the co-ordinates of a point that is
a) the mirror image of (7,-4) with respect to x axis
b) the mirror image of (4,6) with respect to y-axis.
​

Answer 1

(a) (7, 4)

(b) (-4, 6)

Step-by-step explanation:

Let a point P(x, y) is reflected about X-axis.

Then it's image co-ordintes will be P' (x, -y)

and when P(x, y) is reflected about Y-axis, it's

image co-ordinates will be P"(-x, y).

(a) Required point is the mirror image of (7, -4) with respect to X-axis.

therefore, the required point = (7, 4)

(b) Required point is the mirror image of (4, 6) with respect to Y-axis.

therefore, the required point = (-4, 6)

Hence, the results.

Answer 2

Answer:

The coordinates of a point that is a mirror image of:

(a) The mirror image of (7,-4) with respect to the x-axis is (7, 4)

(b) The mirror image of (4,6) with respect to the y-axis is (-4, 6)

Explanation:

Given:

Points (7,-4) and (4,6)

To Find:
The mirror image of (7,-4) along the x-axis

The mirror image of (4,6) along the y-axis

Solution:
Let a point Q(x, y) be reflected on X-axis.

Its image coordinates will then be Q' (x, -y)

The reflection of P(x, y) around the Y-axis is

The coordinates for the picture are P' (-x, y).

(a) The required point is (7, -4)'s mirror image with respect to the X-axis.

Consequently, the necessary point is (7, 4)

(b) The necessary point is (4, 6)'s mirror image with respect to the Y-axis.

Consequently, the necessary point is (-4, 6)

Conclusion:

(a)The mirror image of the point (7,-4) with respect to the x-axis is (7,4).

(b) The mirror image of the point (4,6) with respect to the y-axis is (-4,-6).

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