Rotation Only

Explore what happens to a rotation on the coordinate plane.

[b]Directions:[/b][br]1. Click "Show Rotation".[br]2. Play around with the angle by clicking and dragging the point on the slider (a).[br]3. Click "Pre-image Coordinates" and "Image Coordinates" to show the coordinates of the pre-image and image.[br]4. Continue to move the points around to find patterns in the coordinates.[br]5. Answer the questions below.

1.

Which of the following is a rule for a 90 degree (counter clockwise) rotation?

[math]\left(x,y\right)\longrightarrow\left(x,y\right)[/math] [math]\left(x,y\right)\longrightarrow\left(-x,-y\right)[/math] [math]\left(x,y\right)\longrightarrow\left(-y,x\right)[/math] [math]\left(x,y\right)\longrightarrow\left(-y,-x\right)[/math] [math]\left(x,y\right)\longrightarrow\left(y,-x\right)[/math]

2.

Which of the following is a rule for a 180 degree (counter clockwise) rotation?

[math]\left(x,y\right)\longrightarrow\left(-x,-y\right)[/math] [math]\left(x,y\right)\longrightarrow\left(-y,-x\right)[/math] [math]\left(x,y\right)\longrightarrow\left(y,-x\right)[/math] [math]\left(x,y\right)\longrightarrow\left(-y,x\right)[/math] [math]\left(x,y\right)\longrightarrow\left(x,y\right)[/math]

2.

Which of the following is a rule for a 270 degree (counter clockwise) rotation?

[math]\left(x,y\right)\longrightarrow\left(-y,x\right)[/math] [math]\left(x,y\right)\longrightarrow\left(x,y\right)[/math] [math]\left(x,y\right)\longrightarrow\left(y,-x\right)[/math] [math]\left(x,y\right)\longrightarrow\left(-y,-x\right)[/math] [math]\left(x,y\right)\longrightarrow\left(-x,-y\right)[/math]

4.

Is a rotation an example of rigid motion?

No Yes

Rotation Only

Explore what happens to a rotation on the coordinate plane.

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Information: Rotation Only