What Are Scaled Copies?

Warmup

Activity #1

Observe the Effect of Scaling on an Image.

Here is a portrait of a student. In this activity, you are going to interact with the portrait to discover scaling.

• Move the slider under each image, A–E, and observe the change.

Activity #2

To Match Scaled Copies of Polygons.

In the applet below is a set of cards that have polygons drawn on a grid.

• Display the cards face up by clicking on them, then match a pair of polygons that are scaled copies of one another.

• Select one pair of polygons and use the segment tool on the grid below to produce both polygons.

(1.) Explain or show how you know that one polygon is a scaled copy of the other.

(2.) Is it possible to draw a polygon that is a scaled copy of both Polygon A and Polygon B? Either draw such a polygon, or explain how you know this is impossible.

Activity #3

To Create Scaled Copies.

• Draw two scaled copies of the figure on the grid below using a scale factor of 2 and 1/2.

• Draw two scaled copies for Figure B on the grid below using a scale factor of 3 and 1.5

• Look at the triangles in the graph below and answer the question that follows.

Summary

Challenge #1

Tyler says that Figure B is a scaled copy of Figure A because all of the peaks are half as tall.

Do you agree with Tyler? Explain your reasoning.

Challenge #2

Here below is a figure that looks like the letter A, along with several other figures. Which figures are scaled copies of the original A?

(2.) Explain how you know.

Challenge #3

Here is a picture of the Rose Bowl Stadium in Pasadena, CA.

Quiz Time

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