Task 1

Look at the applet below.

Before playing with the applet, predict how the preimage will transform (map) onto the image.

Explore

Explore the composition of transformations by dragging the points that control the vector, the point of rotation, and the angle of rotation. Follow the guided questions below as you explore.

As you move the vector, which quadrilateral is moving?

Select all that apply.

Pre-Image (Input) Image (Output) A'B'C'D' A''B''C''D'' ABCD

As you move the CENTER of rotation, what do you notice about the quadrilaterals?

As you move the ANGLE of rotation, what do you notice about the quadrilaterals?

Now that you've played with the applet, how did the preimage transform (map) onto the image?

Describe the motions/transformations.

Rotation then Translation (Turn then Slide) Rotation then a Reflection (Turn then Flip) Translation then Rotation (Slide then Turn) Reflection then a Rotation (Flip then Turn)

Which quadrilateral is our pre-image (input)?

ABCD A"B"C"D" A'B'C'D'

Which quadrilateral is our image (output)?

A'B'C'D ABCD A"B"C"D"