Unit 2 - Lesson 1 - Grade 8: Illustrative Mathematics

Look at the measurements for the rectangles that are scaled copies of the full sheet of paper. What do you notice about the measurements of these rectangles?

Stack the rectangles that are scaled copies of the full sheet so that they all line up at a corner, as shown in the diagram. Do the same with the other set of rectangles. On each stack, draw a line from the bottom left corner to the top right corner of the biggest rectangle. What do younotice?

Stack all of the rectangles from largest to smallest so that they all line up at a corner. Compare the lines that you drew. Can you tell, from the drawn lines, which set each rectangle camefrom?

Is B a scaled copy of R? If so, what is the scale factor?

Is C a scaled copy of B? If so, what is the scale factor?

Is C a scaled copy of R? If so, what is the scale factor?

In your own words, explain what a dilation is.