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Review for Test on Chapter 3 and 6-4
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c || d None c || d a || b
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45⁰ 65⁰ 70⁰ 90⁰ 25⁰ 135⁰
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x = 25 x = 18 x = 9.5 2x + x + 15 = 90 3x – 6 = x + 30 5x – 12 + 15x + 2 = 180
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Answer with always, sometimes, or never. 18. In a plane, two lines perpendicular to the same line are _______ parallel. 19. If two lines are cut by a transversal, corresponding angles are ___________ congruent. 20. A transversal perpendicular to one of two parallel lines is ____________ perpendicular to the other one. 21. An obtuse triangle is ____________ isosceles. always sometimes always sometimes
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22. Find the sum of the interior angles of a 20-sided figure. 23. Find the sum of the exterior angles of a 40-sided figure. 3240°(20 – 2)180 = 360°
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24. Find the measure of one interior angle of a regular octagon. 25. Find the measure of one exterior angle of a regular hexagon. 135° 60°
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26. How many sides does a regular polygon have with an exterior angle 12°? 27. If the interior angle of a regular polygon is 108 , then find the measure of the exterior angle? n = 30
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Directions: Write answers in spaces provided. 28. List the angles of ΔABC in order from largest to smallest.
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29. List the sides of ΔDEF in order from longest to shortest.
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Is it possible for a triangle to have sides with the lengths indicated? (Answer YES or NO) 30. 5, 10, 15 31. 1, 17, 18.5 33. 10, 7, 4 NO YES
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Directions: Write answers in spaces provided. 34. The lengths of two sides of a triangle are 12 and 15. The length of the third side must be greater than _____, but less than _____. 327
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