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2011 National Council of Teachers of Mathematicshttp://illuminations.nctm.org

Exploring Rotations NAME_________________________

For the explorations on this activity sheet, access the game Flip N Slide from the Calculation

Nationwebsite (http://calculationnation.nctm.org).

90 Clockwise Rotation

1. Before you begin, record the starting coordinates for each vertex in your triangle. Perform a90 clockwise (CW) rotation about the origin, and record the ending coordinates for each

vertex.

STARTING COORDINATES ENDING COORDINATES

Vertex A

Vertex B

Vertex C

2. Record the ending coordinates from question 1, in the starting coordinates section of the tablebelow. Perform and 90 clockwise rotation about the origin, and record the ending

coordinates for each vertex.

STARTING COORDINATES ENDING COORDINATES

Vertex A

Vertex B

Vertex C

3. Compare your work with the person sitting next to you. Make a conjecture about whathappens to a vertex when you perform a 90 clockwise rotation about the origin.

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2011 National Council of Teachers of Mathematicshttp://illuminations.nctm.org

180 Clockwise Rotation

4. Before you begin, record the starting coordinates for each vertex in your triangle. Perform a180 clockwise rotation about the origin, and record the ending coordinates for each vertex.

STARTING COORDINATES ENDING COORDINATES

Vertex A

Vertex B

Vertex C

5. Record the ending coordinates from question 4, in the starting coordinates section of the table

below. Perform and 180 clockwise rotation about the origin, and record the endingcoordinates for each vertex.

STARTING COORDINATES ENDING COORDINATES

Vertex A

Vertex B

Vertex C

6. Compare your work with the person sitting next to you. Make a conjecture about whathappens to a specific vertex when you perform a 180 clockwise rotation about the origin.

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2011 National Council of Teachers of Mathematicshttp://illuminations.nctm.org

270 Clockwise Rotation

7. Before you begin, record the starting coordinates for each vertex in your triangle. Perform a270 clockwise rotation about the origin, and record the ending coordinates for each vertex.

STARTING COORDINATES ENDING COORDINATES

Vertex A

Vertex B

Vertex C

8. Record the ending coordinates from question 4, in the starting coordinates section of the tablebelow. Perform and 270 clockwise rotation about the origin, and record the ending

coordinates for each vertex.

STARTING COORDINATES ENDING COORDINATES

Vertex A

Vertex B

Vertex C

9. Compare your work with the person sitting next to you. Make a conjecture about whathappens to a specific vertex when you perform a 270 clockwise rotation about the origin.