Worksheet on Translations, Reflections, and Rotations



H. Geometry

Rotations & Symmetry Name___________________________________

Directions: Perform the following rotations. You may use a protractor and compass or patty paper if needed.

1. Rotate 180 degrees about the origin 2. rotate 90° counterclockwise about the point (1,1)

3. Rotate 90° counterclockwise about point (3, 1) Rotate 180° clockwise about point (5, -4)

5. Which of the following letters have at least one line of symmetry?

Q L U N O X

6. If possible, draw a line of symmetry through each figure. Otherwise, write not possible.

a. b. c. d. e.

7. CAPT – Tile Company

Marisa works as an installer for the tile company. Marisa is installing a tile that is shaped like a regular octagon. She placed a tile into position A for a customer to see.

[pic]

The customer is not satisfied with the appearance of the tile, and has asked Marisa to rotate the tile into position B. Through how many degrees must Marisa rotate the tile in a clockwise direction to change it from position A to position B?

8. CAPT – Computer Lab

You are in charge of moving one of the computers in a computer lab. The diagram below shows the current position of the computer.

[pic]

a. Your instructions indicate that you are to first rotate the computer 90 degrees counterclockwise about the leg on the bottom left. On the grid provided, sketch the computer in its rotated position.

b. Then you are to translate (slide) it 6 feet to the right. On the grid provided, sketch the computer in its final position.

Part a. Part b.

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y

y

y

y

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