Respuesta :
The original location (pre-image) of point L is (0if (0, 4) is the image of point L after a reflection over y-axis.
To solve this question, we will need to have basic idea about coordinate geometry quadrants, i.e.,
The location of the reflection of a particular point against y-axis will be at the same distance from the y-axis as that of the original point, but in the opposite quadrant (on the same side of the x-axis) and both the points will also be at the same distance from the x-axis.
Here, our concerned image point's location is (0, 4), i.e., it lies on the y-axis at a distance of 4 units from the x-axis or origin (0, 0) in the upward direction.
Now, lying on the y-axis means, its distance from the y-axis is zero, and since the location of the reflection of a particular point against y-axis will be at the same distance from the y-axis as that of the original point, the abscissa of our original point L is also 0.
Since both the points will also be at the same distance from the x-axis and our concerned image point's location lies at a distance of 4 units from the origin (0, 0) in the upward direction, the ordinate of our original point L also lies at a distance of 4 units from the origin (0, 0) in the upward direction.
Therefore, our point L lies at (0, 4) only. Put in even simpler terms, The point L is located on the plane of the mirror itself and hence is the same point as its reflection.
- Coordinate Geometry: In mathematics, more specifically in geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
- Abscissa and Ordinate: In coordinate geometry, the distance of a point from the y-axis, measured parallelly to the x-axis, is called abscissa or x-coordinate of the point while the distance of a point from the x-axis, measured parallelly to the y-axis, is called ordinate or y-coordinate of the point.
To learn more about Coordinate Geometry, click on the link below.
https://brainly.com/question/15175017
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