The point a-1 3 lies in a cartesian plane determine the

Question

1. The point A(-1 ; 3) lies in a Cartesian plane. Determine the co-ordinates of the image of A if:

a. A is reflected about the x-axis.

b. A is rotated about the origin through an angle of 90⁰ in an anti-clockwise direction.

2. A transformation T of the Cartesian plane is described as follows:

A point is reflected about the y axis then translated 2 unit's right and 3 units down. In the diagram below quadrilateral, ABCD is given by A (-5 ; 3) , B(-2 ; 4), C(-2 ; 1) and D(-4 ; 1)

a. Use the grid on the diagram sheet to sketch and label A'B'C'D'., the image of ABCD, under the transformation T.

b. Write down the transformation, T, in terms of x and y.

c. Write down the new transformation, S, in terms of x and y , should a reflection across the line y = x be added to transformation, T.