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Understanding Geometric Transformations in Mathematics

Learn about reflections, translations, and rotations in geometry. Discover how each transformation affects figures and how they preserve distance and orientation. Enhance your mathematical skills with interactive examples.

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Understanding Geometric Transformations in Mathematics

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  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

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