The coordinate of point S' will be (-5, 1).
A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection.
The rules for finding the reflection of a point in y-axis are:
(i) Change the sign of abscissa, i.e. x-coordinate.
(ii) Retain the ordinate i.e., y-coordinate.
Therefore, when a point is reflected in the y-axis, the sign of its abscissa changes.
According to the given question.
We have a triangle QRS.
The coordinates of points Q, R, and S are (4, 2), (5, 1) and (3, 7) respectively.
Since, the triangle QRS is reflected across the y-axis .
Therefore, the coordinate of S' is given by
The sign of abscissa or x-coordinate of (5, 1) changes so, 5 changes to -5.
And the ordinate i.e. 1 will remain same.
Therefore, the coordinate of point S' will be (-5, 1).
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