Loading...

How can you use patty papers to construct multiple transformations?

Now that you've seen how patty papers work for single transformations such as translations, rotations, and reflections, let's look at how patty papers can work for constructing multiple transformations. Doing multiple transformations with patty papers is like using the patty papers on two transformation problems but with the same figure.

Take out several sheets of patty papers and your colored pencils. Follow along with the multiple transformation problem below.

Problem

In this problem, you will need to reflect triangle JKL across the line m and then rotate it about the fixed point P. To complete this problem, you'll need to use the patty paper for the first transformation and then use another patty paper for the next transformation.

triangle

Step 1

Take out a sheet of patty paper. Trace the triangle and the reflection line onto your patty paper. Make sure that you label the triangle on the patty paper.

triangle

Step 2

Fold your patty paper along the line m. Your patty paper should have a fold in the middle of it.

triangle

Step 3

a) Fold the patty paper back along the line of the fold. Turn the patty paper over to the back side. 
b) Then, use a colored pencil to trace over the original triangle to the back of the patty paper.

triangle

Step 4

Now, unfold the patty paper. You should have two images that are the opposite of one another.

triangle

Step 5

This next transformation involves rotating the figure around the fixed point P 90 degrees. Take out a sheet of patty paper and trace the reflected triangle J'K'L' onto it along with the point P. This sheet (#1) will go on the bottom..

triangle

Step 6

Now, take out a second sheet of patty paper and place on top of sheet #1. Trace the same triangle J'K'L' and point P on it.

triangle

Step 7

Hold your pencil down on point P on sheet #2 and rotate the bottom sheet (#1) 90 degrees counterclockwise. Trace the triangle image from the bottom sheet #1. Don't forget to trace the labels also. Make them double prime because this is another transformed triangle.

triangle

Step 8

Now, you have the final transformed triangle. It has been reflected horizontally and rotated 90 degree counterclockwise.

triangle