1 / 12

Circle Limit III M.C. Escher

Similar Polygons. Circle Limit III M.C. Escher. Figures that are similar (~) have the same shape but not necessarily the same size. Similar figures look alike but one is a smaller version of the other. It wouldn’t make much sense to make a drawing

xanti
Download Presentation

Circle Limit III M.C. Escher

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Similar Polygons Circle Limit III M.C. Escher

  2. Figures that are similar(~) have the same shape but not necessarily the same size.

  3. Similar figures look alike but one is a smaller version of the other. It wouldn’t make much sense to make a drawing of this ship the actual size of the ship.

  4. Two polygons are similar polygons if and only if their corresponding angles are congruent & their corresponding side lengths are proportional. All the angles are the same All sides are proportional

  5. Similar Polygons – 2 polygons that have the same shape but not the same size. • Symbol ( ~ ) • Corresponding s are . • Corresponding sides are Proportional. Equal Ratios: ** Reduce to the same fraction!!

  6. Writing Math Writing a similarity statement is like writing a congruence statement—be sure to list corresponding vertices in the same order.

  7. Ex: Order Matters Y • ΔABC ~ ΔXYZ 78 4 6 BC corresponds to YZ B 42 Z X 8 10 Find AB: 4 6 = AB = 15 10 AB A C 4 8 = AC = 20 mB = mC = 78 60 10 AC Find AC:

  8. Example : Identifying Similar Polygons Determine whether the polygons are similar. If so, write the similarity ratio and a similarity statement. rectangles ABCD and EFGH

  9. Example 3 A boxcar has the dimensions shown. A model of the boxcar is 1.25 in. wide. Find the length of the model to the nearest inch.

  10. Example 3 Continued 1.25(36.25) = x(9) Cross Products Prop. 45.3 = 9x Simplify. 5 x Divide both sides by 9. The length of the model is approximately 5 inches.

  11. Ex. 2: Are the following polygons similar? 2in B C 120 1in K L 1in 4in 4in 2in 2in 80 J M 1in A D 2in • Check to see if all s are ? • Check the ratio of all corresponding sides?

More Related