Mathematical+Reflections+p.27+-+2011

www.khanacademy.org

March 21, 2011 AS

** Big Idea: Many things in our world are mathematically similar and we can use this to understand and describe the world around us. **
 * Notes from class: **

· Complementary angles are two angles that make a right angle (90 degrees). · Supplementary angles are two angles that make a straight angle (180 degrees). · The reciprocal is the number you get when you turn the number upside down. · When you’re going from a large shape to a smaller shape, the scale factor would be the reciprocal.



**1.** **How did you decide which characters were similar to Mug Wump?**

I decided which characters were similar to Mug Wump by comparing the general shape, angles and the ratio of the corresponding side lengths. If the general shape and angle measures were the same and if the ratio of the corresponding side lengths were “equivalent”, then those characters were similar to Mug Wump.

**2.** **What types of rules produced figures similar to Mug Wump? What types of rules did not? Explain your answers.**

The rules that produced figures similar to Mug Wump were rules that added or subtracted from x or y. Rules that did not produce similar figures were rules that multiplied with x or y. To determine this answer, I looked back at my labsheets and looked at the different shapes according to the rules.

**3.** **If two figures are similar, describe their relationships between their** **a.** **general shapes** **b.** **angle measures** **c.** **side lengths**

<span style="font-family: Arial,Helvetica,sans-serif;">a. Their general shapes need to be somewhat alike. You need to be able to tell that the two shapes are the same if they were stretched or shrunk. <span style="font-family: Arial,Helvetica,sans-serif;">b. All of the angle measures need to be the same. Not corresponding but exactly the same. <span style="font-family: Arial,Helvetica,sans-serif;">c. The side lengths need to be corresponding. You need to find the ratios and see if they are equivalent using proportions.