Answer:
- E'(1, 3)
- F'(4, 3)
- G'(5, 6)
- H'(2, 6)
Step-by-step explanation:
Since the line y=3 is the line of reflection, the point (x, 3) will be the midpoint between the original coordinates of a point (x, y) and their reflected coordinates (x', y'). That is ...
((x, y) +(x', y'))/2 = (x, 3)
We can multiply by 2 and subtract (x, y) to find the values of x' and y'.
(x, y) +(x', y') = 2(x, 3) = (2x, 6)
(x', y') = (2x, 6) -(x, y) = (x, 6-y)
That is, the reflection transformation is ...
(x, y) ⇒ (x, 6-y)
__
Then the reflected points are ...
E(1, 3) ⇒ E'(1, 3)
F(4, 3) ⇒ F'(4, 3)
G(5, 0) ⇒ G'(5, 6)
H(2, 0) ⇒ H'(2, 6)
The graph is shown in the attachment. The line of reflections is shown dashed in green. The original figure is outlined in dashed light blue.
