Triangle DEF has vertices at D(−3, 5), E(−10, 4), and F(−2, 2). Triangle D′E′F′ is the image of triangle DEF after a reflection. Determine the line of reflection if F′ is located at (2, 2).
x = 2
y = 1
y-axis
x-axis
Since point F′ is located at (2, 2), the line of reflection must be the y-axis. This means that the x-coordinate of each point in the original triangle will remain the same, while the y-coordinate will be reflected across the y-axis.
The image of point D will be located at (3, 5) on the other side of the y-axis, the image of point E will be located at (10, 4) on the other side of the y-axis, and the image of point F will be located at (-2, 2) on the other side of the y-axis.