Question

a) If F be the reflection on the line y=x and G be the reflection on the line x= 0 then
state what does GoF represent? If a point P is transformed by the above single
transformation to P(-2,3) find the co-ordinates of P?​

Answer 1

Answer:

If F be the reflection on the line y=x and G be the reflection on the line x= 0 then state what does GoF represent? If a point P is transformed by the above single transformation to P (-2,3) find the co-ordinates of P? ?

If P(-2, 3) is the image of P, then apply G first to get (2, 3) and G begets P(3, 2).

To check apply F to the pre-image P(3, 2) to get (2, 3), then apply G to get P’(-2,3).

A reflection over y=x switches the x and y values.

In a reflection over the y-axis x ==> x*(-1); y stays the same.