The point A(2, 4) is reflected in the origin to A′, and A′ is then reflected in the y-axis to A″. Write down the coordinates of A′ and A″.

The point P(3, −5) is reflected in the x-axis to P′. Write the coordinates of P′.

What is an invariant point under a reflection? Give the invariant points for reflection in the x-axis.

The point P(a, b) is reflected in the x-axis to P'(3, −5). Find a and b, and then find the image of P in the origin.

Find the image of the point (−1, 4) when reflected in the line x = 2.

Find the image of the point (2, 5) when reflected in the line y = 3.

The point (3, −4) is reflected in the x-axis and its image is then reflected in the line x = 1. Find the final coordinates.