Rotations The student, given a polygon in the coordinate ...

[Pages:4]Name: ________________________________________ Date: __________ Block: ________

Rotations

Learning Target: SOL 7.8 The student, given a polygon in the coordinate plane, will represent transformations by graphing in the coordinate plane.

A _________________________ is a transformation where a figure is turned around a fixed point.

The _________________________ is the image before the transformation.

Clockwise Rotations

Counterclockwise Rotations

Describe the rotation of each figure below. The pre-image is in bold.

Rules for Rotations

For every 90o degree turn, x and y switch places. Then, make your positive and negative match the rules for that quadrant.

90 Degrees Clockwise , , -

180 Degrees , -, -

90 Degrees Counterclockwise , -,

Rotations Practice

1. Determine if the transformation below is a rotation. The solid line represents the pre-image. If the transformation is a rotation, tell me how many degrees and in what direction.

2. In what quadrant will an image be if................. a figure is in quadrant III and is rotated 90o clockwise? _________ a figure is in quadrant II and is rotated 180o clockwise? __________ a figure is in quadrant 1 and is rotated 90o counterclockwise? _________

3. Rotate the figure 90o clockwise.

4. Rotate the figure 90o counterclockwise.

Consider triangle ABC below.

A C

B

5. What will be the coordinates of the image of ABC after it is rotated 180o about the origin?

a. (-4, -3), (-1, 0), (-2, -5) b. (3, -4), (0, -1), (5, -2) c. (-3, 4), (0, 1), (-5, 2) d. (4, 3), (1, 0), (2, 5)

6. What will be the coordinates of the image of ABC after it is rotated 90o counterclockwise about the origin?

a. (-4, -3), (-1, 0), (-2, -5) b. (3, -4), (0, -1), (5, -2) c. (-3, 4), (0, 1), (-5, 2) d. (4, 3), (1, 0), (2, 5)

Quadrilateral MATH has the following coordinate points:

M(5, 5) A(10, 14) T(8, -2) H(0, 0)

Find the coordinates of the image after the given rotation: Hint: Use the rules we wrote down in your notes.

1. 90o rotation clockwise:

2. 180o rotation counterclockwise:

3. 90o rotation counterclockwise:

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