Unit 5: Geometric Transformations.

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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) Reflection (flip) 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 180 degrees or less, and exactly matches its original figure. *Every figure can be rotated 360 degrees to match its original figure exactly.

Examples: Reflections: Rotations: Translations: