Rotation:

The "rotation" transformation is where you turn a figure about a given point (P in the diagram above). The point about which the object is rotated can be inside the figure or anywhere outside it. The amount of rotation is called the angle of rotation and is measured in degrees. By convention a rotation counter-clockwise is a positive angle, and clockwise is considered a negative angle.

Coordinates of triangle are and  .

Triangle is dilated with a scale factor of  .

Dilation:

This is defined as either enlargement of reduction of a figure in plane movements.

If the scale factor is greater than , then it is said to be enlargement.

If the scale factor is between 0 and 1, then it is said to be reduction.

In either case of Dilation, the new point is given by .

Thus, new coordinates of the triangle are

.

.

. 

Coordinates of triangle are and  .

(7)

A triangle has coordinates A (1, 5), B (-2, 1) and C (0, -4). \ \

The point is rotated clockwise around the origin.

The rotation is equal in counter clockwise direction is .

When an equation of a conic section is rewritten in the plane by rotating the coordinate axes through , the equation in xy-plane can e found using

.

The new coordinate .

The new coordinate .

The new coordinates after rotated counter clock wise is .

Thus, new coordinates of the triangle are , and .

8)

Dilation:

This is defined as either enlargement of reduction of a figure in plane movements.

If the scale factor is greater than , then it is said to be enlargement.

If the scale factor is between 0 and 1, then it is said to be reduction.

Let the point be .

Point is dilated with a scale factor of . \ \

Dilation:

If the coordinates of a point are dilated with a scale factor of then new point after dilation can be writtten as 

.

New coordinates of the point are

In either case of Dilation, the new point is given by .

Thus, new coordinates of the triangle are

.

.

. 

Coordinates of triangle are and  .