Area and Perimeter Similarity
The red and blue polygons are similar. Remember...ALWAYS REDUCE WHEN FINDING RATIOS!!
1. Shown are the lengths of AB and the corresponding AB. Record the ratio of red side length to the blue side length.
2. Check the box next to perimeters. Record the ratio of red perimeter to the blue perimeter.
Click and move point A,B, or C. Record the ratio of the perimeters at least 3 more times.
What do you notice about each of the ratios you found?
Is there a relationship between the perimeter ratios and the length ratios?
3. Check the box next to the perimeters. Record the ratio of the red area to the blue area.
Again, move point A,B, or C. Record the ratio of the areas at least 3 more times.
What do you notice about each of the ratios you found?
Is there a relationship between the area ratios and the length ratios?