Assignment 8.pdf

# Assignment 8.pdf - MTG 2206 Wssignment NAME jimagghifc/w...

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Unformatted text preview: MTG 2206 Wssignment NAME: jiﬂma’gghifc/ﬁw Sections Covered: 5.3, 5.4, 5.5. Each question is worth 5 points. 1. Prove the following by two column proof or paragraph proof. Given: AJPK, AJML, and PK] IML. Prove: AIPK'“ AIML 2. Prove the following by two column proof or paragraph proof. Given: AXYZ and AABC are right triangles; XY/AB=YZ/BC Prove: AYXZ "‘ ABAC a LY§L B a Wenhi‘l 1.33? H L‘- = [L 3.A‘{;(2~ABA: 3. A91“: For questions 3-5, identify the similar triangles. Then find each measure. 3. AC ﬂ 4. J TL E l5“ ‘4“ [C “is N MTG 2206 —— Extra Credit Assignment NAME: For questions 6—8, find the geometric mean of the two numbers. Give your answer in exact form and as an approximation to two decimal places. ® 7.28and14 , WNW—3‘17 V2715 8. 7 and 36 7—26sz +353 : 3E} 6.2and8 @Write a similarity statement identifying the three similar triangles in the figure. ALeNN A LNM~L\ MP’W For questions 10 and 11, find the values for x, y, and z. 10. For questions 14-16, determine whether each set of numbers make up the sides an acute, obtuse, or riht triangle. JSVZHIO, 11 11;} ‘03 i HQ GﬁW+ 50+1007l9‘ kSOlell ms 4 4 5 gnalsﬁ-g'lQ DC? ”@1032 3 ' as 1:16330, 40, 50 '2 30°40": 50 Q 509 '3 Z! 5 0° 0 Find the value of x and y. 7 18. Find the value ofx and y. I X {j\_£ach triangle in the figure is a 45° — 45° — 90°triangle. Find the value of x. \ j “ EVE : (7 20 Find the value of x, y, and 2. Then find the perimeter of trapezoid PQRS. ‘ to ...
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