2 Perimeter and Area of Similar Figures GeometryUnit 11, Day 9Ms. Reed
3 Proportions and Similar Triangles We will be investigating perimeters and areas of similar rectanglesYou will need:Graph PaperCalculatorNotes Page
4 On your graph paper:Starting in the corner, draw a 3 unit by 4 unit rectangleChoose 3 scale factors from 2-10 and create those rectangles so that they start at the same corner of the graph.Fill in I, II, and III on Table 1.
5 Table 2: Using the information from Table 1 to complete Table 2. How do the ratios compare with the scale factors?
6 What we discovered:If the similarity ratio of two similar figures is a:b, thenThe ratio of their perimeters is a:bThe ratio of their areas is a2:b2
7 Example 13 in5 inThe area of the smaller regular hexagon is 30 in2. Find the area of the larger hexagon.What is the ratio of the corresponding sides?What is the ratio of the areas?