Question

coordinates of the mirror image of (4,-5) in y axis is

Answer 1

for writing the mirror image

for writing the mirror image1. change the sign of abscissa.

for writing the mirror image1. change the sign of abscissa.2. write the ordinate as it is

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Answer 2

Given:

The coordinates of a point in the 2D coordinate system (4, -5).

To Find:

The coordinates of the mirror image of (4,-5) with the y-axis.

Solution:

The given problem can be solved by using the concepts of 2D coordinate geometry.

1. Consider a point (a,b) in the 2D coordinate system, the point (a,b) is at a distance of,

• a unit from the y-axis.
• b unit from the x-axis.

2. The image of the point (a,b) to the x-axis is at a distance of 2b units from the point (a,b). The line that joins the original coordinate and the image coordinate is perpendicular to the x-axis. The coordinates of the image are (a,-2b).

3. The image of the point (a,b) to the y-axis is at a distance of 2a units from the point (a,b). The line that joins the original coordinate and the image coordinate is perpendicular to the y-axis. The coordinates of the image are (-2a,b).

4. The given coordinates are (4,-5) the image of the coordinates in the y-axis is at a distance of 2x4 units from the initial point.

=> Coordinates of the image = ( -4, -5).

5. The distance between the image and the original point to the y-axis is (2 * x-coordinate).

Therefore, the image of the point (4,-5) in the y-axis is (-4,-5).