Breaking

Wednesday, 17 July 2024

FORM TWO GEOMETRIC TRANSFORMATION POWERPOINT FULL TOPIC COVERED





A geometrical transformation refers to any operation that changes the position, size, shape, or orientation of a geometric figure. These transformations can be classified into different types based on how they alter the figure:

 

1. Translation: This shifts a figure from one location to another without changing its shape, size, or orientation. Every point of the figure moves the same distance in the same direction.

 

2. Rotation: This turns a figure around a fixed point called the center of rotation. The shape and size of the figure remain unchanged, but its orientation changes.

 

3. Reflection: This flips a figure over a line (called the line of reflection), creating a mirror image. The shape and size of the figure remain the same, but the figure's orientation is reversed.

 

4. Scaling (Dilation): This changes the size of a figure by enlarging or shrinking it. The shape of the figure remains similar, but its size changes by a scale factor.

 

5. Shearing: This shifts one part of a figure in a direction parallel to a line while keeping the rest of the figure fixed or moving it in a parallel manner. This transformation distorts the shape of the figure.

 

6. Affine Transformation: This is a combination of linear transformations (like scaling, rotating, shearing) and translations. It preserves lines and parallelism (i.e., parallel lines remain parallel).

 

7. Projective Transformation: This is a more complex transformation that can map lines to lines but does not necessarily preserve parallelism or ratios of lengths.

 

These transformations can be described using matrices and vector operations in linear algebra, providing a powerful and concise way to perform and analyze them in various applications, including computer graphics, robotics, and image processing.

DOWNLOAD THE FULL POWERPOINT DOC HERE


GET PAST PAPERS WITH MARKING SCHEMES HERE

Get hired here Vacancies

No comments:

Post a Comment