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Rotations and Rotational Symmetry

- We are learning torotate a figure, describe a

rotation, and identify rotational symmetries. - Monday, June 24, 2013

Vocabulary

- A rotation turns a figure around a fixed point a

certain number of degrees either clockwise or

counterclockwise. - The new figure is congruent (exactly the same

shape and size) to the original figure.

Degrees in a Circle Review

360

0

22.5

315

45

45

45

90

90

45

45

90

270

45

45

90

90

45

45

135

225

180

Estimating Rotations Describe how the

following figures have been rotated around the

point of rotation.

Original Object

Clockwise About 90

Point of Rotation

Rotated Object

Counterclockwise About 270

To find the missing rotation subtract from

360(360 90 ?)

Estimating Rotations Describe how the

following figures have been rotated around the

point of rotation.

Original Object

Counterclockwise About 45

Rotated Object

Point of Rotation

Clockwise About 315

90

180

To find the missing rotation subtract from

360(360 45 ?)

Estimating Rotations Describe how the

following figures have been rotated around the

point of rotation.

Original Object

Point of Rotation

Counterclockwise About 225

Rotated Object

180

Clockwise About 135

90

To find the missing rotation subtract from

360(360 135 ?)

Vocabulary

- A figure has rotational symmetry when it can be

rotated less than 360 around a central point and

then fit exactly on top of itself. - http//www.learner.org/courses/learningmath/geomet

ry/session7/part_b/index.html

Rotational Symmetry

- Order of a Rotational Symmetry The amount of

times that an object fits on top of itself when

being rotated. - Calculating Rotational Symmetries
- Find the Order of the Rotational Symmetry
- Divide 360 by the Order of the Rotational

Symmetry - This value represents the first Rotational

Symmetry. - Continue adding this value to find the next

Rotational Symmetry. - Add this value until you reach 360.

Rotational Symmetry Practice

Practice finding Rotational Symmetries with your

team!

Order of Rotational Symmetry

6

1

6

Calculate the Rotational Symmetries

360 6

60

5

2

List all Rotational Symmetries

(60)

(60)

(60)

180,

120,

60,

(60)

(60)

240,

360

3

4

300,

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