3.3+Subdividing+to+find+Rep-tiles

16/11/08 CT Big Idea: Many things in our world are mathematically similar and we can use this to understand and describe the world around us. Essential Question: How can i use math to check if two figures are similar? Notes: -Congruent: Two or more figures that have the same angle measures and a scale factor of 1.


 * //1. The shapes below appear on Label sheet 3.3. Try to find a way to divide each shape into four congruent, smaller shapes that are similar to the original shape. For each shape, give the scale factor from the smaller shape to the original shape.//**

1. Choose one of the shapes on Labelsheet 3.3. Divide each small figure within the shape in the same way you divided the original shape. How many of these new shapes does it take to cover the original shape?//** It takes 16 smaller trapeziums to cover the original trapezium.
 * //3.3 Follow up

The scale factor from the small shape to the original shape is 4.
 * //2. For the shape you subdivide in question 1, what is the scale factor from the smallest shape to the original shape?//**

The relationship between the number of smaller shapes it takes to cover the original shape and the scale factor is that they are both ,4. It takes 4 shapes to fill the original shape and the scale factor between the shapes is 4.
 * //3.How does the scale factor from question 2 relate to the number of the smallest shapes it takes to cover the original shape? what is the relationship between the scale factor and the areas of the large and small figures?//**