By using a sketch, find the image of point A(2,3) after a reflection in the line y = x followed by another reflection in the line y = - x .

Find the image of the point P (4,1) when it is;

(i)reflected in the x-axis

(ii)reflected in the line y = x. (iii) translated by the point T (3, 5)

25. Explain how each of the following types of transformation differs from the other. Translation from Reflection, Reflection from Rotation, and Rotation from Translation.

A translation takes the origin to (-3, - 4). Without drawing, find where it takes Q(1,-2).

Find the images of the points A (-5, 2) and B (4, -7) after reflection in the y-axis.

A translation takes point (5, 5) to the point (-7, -7). If it takes point (x, y) to (-4, -4), find the values of x and y

By using a sketch, find the image of the point A (5, 2) under a reflection in the line y = 0, followed by another reflection in the line y = x