Mathematics
Answer
We know that the reflection of the point (x, y) in the line y = a is the point (x, -y + 2a).
∴ The image of the point P(-3, -5) under reflection in the line y = -2 is the point P'(-3, -(-5) + 2 × (-2)) i.e., the point P'(-3, 1).
Hence, the image of the point (-3, -5) in y = -2 is (-3, 1).
Related Questions
Write down the coordinates of the image of the point (3, -2) when:
(i) reflected in the x-axis.
(ii) reflected in the y-axis.
(iii) reflected in the x-axis followed by reflection in the y-axis.
(iv) reflected in the origin.
The point P(-4, -5) on reflection in y-axis is mapped on P'. The point P' on reflection in the origin is mapped on P''. Find the coordinates of P' and P''. Write down a single transformation that maps P onto P''.
Find the image of the point P(1, -2) in the line x = -1.
The point P(2, 4) on reflection in the line y = 1 is mapped onto P'. Find the coordinates of P'.