Answer:
The coordinates of the image point will be (-1,4).
Step-by-step explanation:
The coordinates of the original point are P(3,4) which is reflected across the line x = 1 which is parallel to the y-axis and at a distance of 1 unit right of the y-axis.
Since x = 1 line is parallel to the y-axis, so the y-coordinate of the image point (P') will not change and remains 4 as it is.
Now, the perpendicular distance of point P(3,4) from the line x = 1 is 2 units and the position of point P(3,4) is at the right side of the line.
Therefore, the image point P' will also be at 2 units distance perpendicular to the line x = 1 and at the left side of the line x = 1.
Hence, the x-coordinate of the point P' will be (1 - 2) = - 1.
And the coordinates of the image point will be (-1,4) (Answer)
