Section 17.3: Rotations.

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Presentation transcript:

Section 17.3: Rotations

Objective(s): By following instructions, students will be able to: Draw the image of a figure under a rotation.

Def: rotation is a transformation around a point P, the center of rotation such that the following is true: Every point and its image are the same distance from P. All angles with vertex P formed by a point and its image have the same measure. This angle measure is the angle of rotation.

explain 1A Draw the image of the triangle after the given rotation. Counterclockwise rotation of 150 degrees around point P.

explain 1B Draw the image of the triangle after the given rotation. Clockwise rotation of 75 degrees around point Q.

Your-Turn #1 Draw the image of the triangle after the given rotation. Clockwise rotation of 125 degrees around point Q.

explain 2A Draw the image of the figure under the given rotation. Quadrilateral ABCD; 270 degrees

explain 2B Draw the image of the figure under the given rotation. Triangle KLM; 180 degrees

Your-Turn #2 Draw the image of the figure under the given rotation. Triangle PQR; 90 degrees

explain 3A Find the angle of rotation and direction of rotation in the given figure. Point P is the center of rotation.

explain 3B Find the angle of rotation and direction of rotation in the given figure. Point P is the center of rotation.

Your-Turn #3 Find the angle of rotation and direction of rotation in the given figure. Point P is the center of rotation.

Revisit Objective(s): Did we... Draw the image of a figure under a rotation?

HW: Sec 17.3 pg 691 #s 1-21 ODD