proportions and triangles, math homework help

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algrnpue

Mathematics

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Complete the tasks in the attached file in a Microsoft word document. Include complete explanations for answers. Double check answers for accuracy.

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Visualization, Reasoning and Proof, and Similarity You can show that two triangles are similar when certain relationships exist between two or three pairs of corresponding parts. If you know two triangles are similar, then you know their corresponding sides are proportional. Task 1 In the diagram below, AC 6 DF 6 BH and CB 6 FE. F C A H G D E B a. Find four similar triangles. Explain how you know that they are all similar. b. Using the similar triangles you found in part (a), complete the following extended proportion: AB DE j j AC 5 j 5 DG 5 j Similarity Lines with special relationships to the sides and angles of a triangle determine proportional segments. When you know the lengths of some of the segments, you can use a proportion to find an unknown length. Task 2 A You are making the kite shown at the right from five pairs of congruent panels. In parts (a)–(d) below, use the given information to find the side lengths of the kite’s panels. D ABCD is a kite. EB 5 15 in., BC 5 25 in. The extended ratio XY i YZ i ZC is 3 i 1 i 4. EX ' BC, EX 6 YF 6 GZ a. nBEX b. XEFY c. YFGZ d. nZGC E 15 in. F B X in. To solve these problems, you will pull together many concepts and skills that you have studied about similarity. Pull It All Together G Y 25 7 Z C Chapter 7 Pull It All Together Copyright © 2011 Pearson Education, Inc. 479
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