Given ABC is at A (-1, 5), B (1, 1), C (2, 3), and if the is reflected across the line x = 4, find the new position of C'.
Question
Given ABC is at A (-1, 5), B (1, 1), C (2, 3), and if the is reflected across the line x = 4, find the new position of C'.
Solution
The reflection of a point across a vertical line x = a is given by the rule (x, y) -> (2a - x, y).
Here, the line of reflection is x = 4.
The original coordinates of point C are (2, 3).
Applying the reflection rule, the new coordinates C' are:
C' = (2*4 - 2, 3) = (6, 3)
So, the new position of C' after reflection is (6, 3).
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