Understanding Geometric Transformations in Mathematics

1. Transformations

2. Reflection

3. Translation

4. Rotation

5. Reflection Definition:  A reflection over a line is a transformation in which each point of the original figure (pre-image) has an image that is the same distance from the line of reflection as the original point but is on the opposite side. • Reflection:-- image is congruent to original figure.

6. Translation Definition:  A translation is a transformation, that slides every point of a figure the same distance in the same direction. A translation creates a figure that is congruent to the original figure and preserves distance and orientation

7. Rotation Definition: A rotation is a transformation that moves every point around a fixed point (usually the origin). Rotations are counterclockwise or clockwise. A rotation creates a figure that is congruent to the original figure and preserves distance and orientation