20171010 rotations day 1.notebook October 10, 2017

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10/10

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Rotations Worksheet

Quiz Friday

HW Answers

20171010 rotations day 1.notebook October 10, 2017

Today's Objective: Rotations

20171010 rotations day 1.notebook October 10, 2017

Transformation #3  Rotation

A Rotation turns a figure about a fixed point called the center of rotation.

Center of Rotation  point about which the                                     figure is turned(may be the origin or (0,0) on a graph)

**Rotation may be clockwise or counterclockwise...    if not stated assume counterclockwise.

With a rotation, the size and shape of the pre-image is the same as the image.

Clockwise? Counter-clockwise?

20171010 rotations day 1.notebook October 10, 2017

Original Figure

90 degrees

clockwise 180 degrees

90 degrees counter clockwise

A

BC

Turn the figure 90o clockwiseabout the origin.

Record the points

A ( )B ( )C ( )

A' ( )B' ( )C' ( )

20171010 rotations day 1.notebook October 10, 2017

To rotate a figure:

1) Copy down the coordinates of the preimage

2) Rotate your page to see where the new figure should be

3) Write the points of the image after rotation

4) Plot the new image and label.

Rules:

90 Clockwise (x,y)--> (y,-x)

90 Counter Clockwise (x,y)--> (-y, x)

180 turn either way (x, y)--> (-x, -y)

Rotate the figure 180 counterclockwise about the origin.

What did you notice about the ordered pairs?

Record the pointsR ( )S ( )U ( )W( )

R' ( )S' ( )U' ( )W' ( )

RS

U W

20171010 rotations day 1.notebook October 10, 2017

Turn the figure 90o counter - clockwiseabout the origin.

Record the points

A ( )B ( )C ( )

A' ( )B' ( )C' ( )

A

B

C

Turn the figure 90o clockwiseabout the origin.

Record the points

A ( )B ( )C ( )

A' ( )B' ( )C' ( )

A

B

C

20171010 rotations day 1.notebook October 10, 2017

What do you notice when a figure is turned 180o?

What do you notice about the coordinates?

Attachments

Example_2__Rotations__or_Turn___Dragon_Falling  2 min.asf

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