Geometrical transformations questions | form two Basic Mathematics

The translation  maps the origin onto a point Where will  map the points:
A. Q(0,4)?
B. N(-10,8)?

Answer / Solution

UNSOLVED

1. The transformation T maps the point (x,y) to (x-y,x). Find the image of the point (6,-2) under T.
2. Find the image of a point P(3,2) after rotating it about the origin through 90° in a clockwise direction.

Answer / Solution

UNSOLVED

Find the images of B (3, 4) under a reflection in the y – axis and x – axis.

Answer / Solution

UNSOLVED

1. What is a linear transformation?
2. Is a translation a linear transformation?
3. A translation takes the point (5, 8) to (12, -4). Find where it will take the point (8, 5).
4. A linear transformation T maps the point (x, y) onto (x¹,y¹)  where (x¹ , y¹ ) = (x + y, -x + 2y). Determine the matrix T of this transformation. Find the
   determinant and inverse of T.

Answer / Solution

UNSOLVED

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

Answer / Solution

UNSOLVED