Rotations and Reflections 9-12.G-CO.3 Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry.

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Presentation transcript:

Rotations and Reflections 9-12.G-CO.3 Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself. David Arnold

Important Vocabulary  Rotate  Parallelogram  Reflect  Trapezoid  Axis of Symmetry  Regular Polygon  Line of Symmetry  Center of Rotation  Rectangle  Angle of Rotation

Applying Vocabulary  Rotate- a motion of a certain space that preserves at least one point.  Reflect- inverting an object with respect to a plane; each element is transferred perpendicularly through the plane to a point

Applying Vocabulary  Axis of Symmetry- the two sides of a graph on either side of the axis of symmetry look like mirror images of each other  Line of Symmetry- the imaginary line where you can fold the image and have both halves match exactly

Confused on axis of symmetry? Check out this video!

Applying Vocabulary  Rectangle- a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square  Regular polygon- a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length). A star is a great example of a regular polygon

Applying Vocabulary  Parallelogram- a four-sided plane rectilinear figure with opposite sides parallel  Trapezoid- a quadrilateral with only one pair of parallel sides.

Applying Vocabulary  Center of Rotation- in a rotation, the point that does not move. The rest of the plane rotates around this one fixed point

Applying Vocabulary  Angle of Rotation- is a measurement of the amount, the angle, by which a figure is rotated counterclockwise about a fixed point, often the center of a circle

Check out these additional videos and links for further practice and understanding Rotation Video: Reflection of Symmetry: Transformation Worksheet: All%20Transformations.pdfhttp://cdn.kutasoftware.com/Worksheets/Geo/12- All%20Transformations.pdf