Geometric Transformations: Types and Examples
Explore the world of geometric transformations including translation, reflection, rotation, and more. Learn about key concepts like line of reflection, center of rotation, and rotational symmetry. Discover examples of reflections, rotations, and translations to deepen your understanding.
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Presentation Transcript
Unit 5: Geometric Transformations
Transformation- a change in position, shape, or size of a figure. Image- the figure you get after a transformation (original point A has an image of A ).
Three Types of Transformations: Translation (slide) 1. 2. Reflection (flip) 3. Rotation (turn)
Translation- a transformation that moves each point of a figure the same distance AND in the same direction (SLIDE). Reflection- a transformation that flips a figure over a line and creates a mirror image (FLIP).
Line of Reflection- the line which a figure is reflected over. Reflectional Symmetry- a figure can be reflected over a line so that its image matches the original figure. Line of Symmetry- If you fold a figure along this line, the two halves match exactly.
Rotation- a transformation that turns a figure about a fixed point (TURN). Center of Rotation- the fixed point that a figure is rotated around. Angle of Rotation- the number of degrees the figure rotates.
Rotational Symmetry- A figure can be rotated 180degrees or less, and exactlymatches its original figure. *Every figure can be rotated 360 degrees to match its original figure exactly.
Examples: Reflections: Rotations: Translations:
