Rotation

Standard: HSG.CO.A.5-Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.[br][br]Objective: Students will be able to demonstrate how to rotate a figure about the origin, experiment with translating and rotating (or vice versa) a figure and explain the difference between translation and rotation.

1. Move the red line with point M and see what happens

How would you describe the movement you have seen in the figure above?

M is going around the circle M is moving to the right M is getting flipped around

How would you describe the green section you have seen in the figure above while moving M?

2. This is an example of a triangle rotated about point A 100 degrees.

Move points C,D or E. What do you notice?

What do you think the angle is between point C and C' about point A?

[math]100^\circ[/math]clockwise [math]260^\circ[/math]clockwise [math]90^\circ[/math]clockwise

What do you think the angle is between point D and D' about point A?

[math]100^\circ[/math]clockwise [math]260^{\circ}[/math]clockwise [math]90^{\circ}[/math]clockwise

What do you think the angle is between point E and E' about point A?

[math]260^{\circ}[/math]clockwise [math]100^\circ[/math]clockwise [math]90^{\circ}[/math]clockwise

3. Rotation on a Coordinate Plane: Move the blue triangle and see what happens to the red triangle. Then move the degree of angle (green) to see what happens to the red triangle in relation to the blue triangle.

4. Look at the figure below and think about whether this is an example of a rotation.

Is the figure above an example of a rotation? If not, what is it an example of? Explain your response.

5. Watch this video to sum it altogether!

6. How would you describe what rotation is in your own words?

7. Think about how you may rotate a body part and what the fixed point is. Be ready to discuss and show with your partner/group!