Unit 5 Transformations in the Plane

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Presentation transcript:

Unit 5 Transformations in the Plane We’ve seen transformations in the context of functions. ****Given a linear function name all the basic transformations. In Geo, it’s the same concept. We can take an original shape and move it across the plane.

How has this shape moved? Pre-image vs. image (show notation and corresponding parts) Line of reflection can also be known as “line of symmetry”, “axis of symmetry” Reflected- Also known as “flip” Reflections take place across a “line of reflection”

How has this shape moved? Translated- Also known as “glide” or “slide” Shapes can be translated in any direction

How has this shape moved? Rotation- Also known as “turn” Rotations are centered around a point Show image vs. pre-image with notation. Can be done around all angles, clockwise or counter clockwise.

Rigid transformations Rotation, reflection and translation are called rigid because they preserve distance and angles. Another term is isometries (isometry) We do have one transformation that is NOT isometric…..

Dilation K>1 the image enlarges K<1 the image shrinks Shrinking or blowing up a shape Scale factor- the measurement of how the shape changes K>1 the image enlarges K<1 the image shrinks