Rectangle RSFT has vertices R(3,10), S(5,10), F(5,6) and T(3,6). RSFT was reflected over the line y = x, to form R'S'F'T'. What are the coordinates of the vertices of the image?

The coordinates of the vertices of the image are R' (10, 3), S' (10, 5), F' (6, 5), T' (6, 3)

Step-by-step explanation:

Let us use the first rule above to solve the question.

∵ Rectangle RSFT has vertices R (3, 10), S (5, 10), F (5, 6), and T(3, 6)

∵ RSFT was reflected over the line, y = x

→ To find its image switch the coordinates of all the vertices

∵ R = (3, 10)

∴ R' = (10, 3)

∵ S = (5, 10)

∴ S' = (10, 5)

∵ F = (5, 6)

∴ F' = (6, 5)

∵ T = (3, 6)

∴ T' = (6, 3)

The coordinates of the vertices of the image are R' (10, 3), S' (10, 5), F' (6, 5), T' (6, 3)