A point is reflected in the and the coordinates of its image are
Find the coordinates of
Find the coordinates of the image under the reflection in the line
Find the coordinates of the image under the reflection in the origin.
Step 1: Finding the coordinates of the point
The line is nothing but and the reflection of a point in is given by
The reflection of the point in the line is given as .
Therefore, the coordinates ofare, where and.
Step 2: Finding the image of P in the line
The line is nothing but and the reflection of a point in is given by.
Therefore, the reflection of the point in the line is
Step 3: Finding the image of under the reflection in the origin
The reflection of a point in the origin is given by.
Therefore, the reflection of the point in the origin is.
Hence, The coordinates of the point are,
The image of in the line is and
The coordinate of the image under the reflection in origin is.