under a reflection in the y-axis
a point (x, y ) → (- x, y ), thus
R(6, 6 ) → R' (- 6, 6 )
S(3, - 6 ) → S'(- 3, - 6 )
T(0, 3 ) → T'(0, 3 )
Plot the sets of points and graph them
Answer: The graph is attached below.
Step-by-step explanation: Given that the co-ordinates of the vertices of ΔRST are R(6, 6), S(3, –6), and T(0, 3).
We are given to graph ΔRST and its image after a reflection over the Y-axis.
After reflection across Y-axis, the co-ordinates of the vertices of ΔRST will follow the following transformation :
(x, y) ⇒ (-x, y), because the sign before the x-coordinates of the vertices will get reversed.
Therefore, the co-ordinates of the vertices of the image of ΔRST will be
R'(-6, 6), S'(-3, -6) and T'(0, 3).
The graphs of both the triangles, ΔRST and its image after reflection R'S'T' is drawn in the attached figure.
We see that the vertices T and T' coincide with each other.
Thus, the graph is shown below.
