Unit 2 Section 7 Similar Figures and Scale Drawings.notebook October 22, 2015 Use the 2 figures at the right to complete each statement: A 1) AB ≅ ___ 2) B ≅ ___ C B E 3) ABC ≅ ____ 4) If the length of BC is 8 in, then the length of _____ is 8 in. F o o 5) If m F = 33 , then m ____ = 33 Nov 16­8:11 PM Oct 23­2:56 PM D Unit 2 Section 7 Similar Figures and Scale Drawings.notebook October 22, 2015 Oct 23­2:56 PM Similar Figures & Scale Drawings Unit 2 Jul 30­6:27 PM Unit 2 Section 7 Similar Figures and Scale Drawings.notebook Similar Polygons Similar polygons ­ figures that have the same shape, but not necessarily the same size. Cirle O is similar to Circle A. O A A O Polygons are similar when: 1. Corresponding angles are congruent 2. Corresponding sides are proportional Name the corresponding angles: 16 C 12 B 8 A D E Feb 6­4:08 PM Find the values of x and y: 1) QRS PNM R y x P M 20 12 16 Q 10 S N 3) ABC ARS 75 m A 300 m B R 60 m C x 15 10 Check the ratios between the lengths of corresponding sides. S Feb 6­4:23 PM 20 F October 22, 2015 Unit 2 Section 7 Similar Figures and Scale Drawings.notebook 6. October 22, 2015 Use proportions to find the height of the tree. 5 ft 4 ft 20 ft Nov 16­8:09 PM Scale drawings Scale ­ the ratio of the size of the drawing to the actual size of the object. drawing : actual Nov 1­9:33 AM Unit 2 Section 7 Similar Figures and Scale Drawings.notebook Solve these problems using proportions. 1) A scale model of an outdoor pool is constructed using the scale of 1 in: 8 ft. The actual length of the pool is 28 ft. Find the length of the pool in the scale model. 2) A model boat is 3.5 ft long. The scale model is 1 : 10. What is the actual length of the boat? Nov 1­9:32 AM A special­effects artist has made a scale model of a dragon for a movie. In the movie, the dragon will appear to be 16 ft tall. The model is 4 in. tall. a. What scale has the artist used? b. The same scale is used for a model of a baby dragon, which will appear to be 2 ft tall. What is the height of the model? Nov 1­9:32 AM October 22, 2015 Unit 2 Section 7 Similar Figures and Scale Drawings.notebook Homework: Homework Packet pages 25 and 26 Oct 6­3:30 PM Oct 9­8:28 AM October 22, 2015