Reflection Only

Explore what happens to a reflection on the coordinate plane.

[b]Directions: [/b][br]1. Click "Show Reflection"[br]2. Play around with the points and line of reflection (Mirror) by clicking and dragging.[br]3. Part II options should you the distance of the pre-image points to the line of reflection(Mirror) and the image points to the line of reflection(Mirror). Check the boxes to show the distances.[br]4. Part III shows the coordinates of the pre-image and the image. Check the boxes to show the coordinates.[br]5. Continue to move the points around to find patterns in the distances and coordinates from Part II and Part III.[br]6. Answer the questions below.

1.

Which of the following is a rule for a reflection over the [i]y[/i]-axis?

[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(-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]

2.

Which of the following is a rule for a reflection over the [i]x[/i]-axis?

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

3.

Which of the following is a rule for a reflection over the line [i]y = x[/i]?

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

4.

Is a reflection an example of rigid motion?

Yes No

Reflection Only

Explore what happens to a reflection on the coordinate plane.

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Information: Reflection Only