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11. ANSWER: 71 Mid-Chapter Quiz: Lessons 6-1 through 6-3 Find the sum of the measures of the interior angles of each convex polygon. 1. pentagon Use WXYZ to find each measure. ANSWER: 540 13. 3. 18-gon ANSWER: 75 ANSWER: 2880 Find the measure of each interior angle. 14. WZ ANSWER: 24 15. ANSWER: 105 5. ANSWER: ALGEBRA Find the value of each variable. The sum of the measures of the interior angles of a regular polygon is given. Find the number of sides in the polygon. 7. 720 ANSWER: 6 17. ANSWER: s = 13 , t = 7 9. 1800 ANSWER: 12 Find the value of x in each diagram. 18. ANSWER: d = 42 and f = 14 11. Find x and y so that each quadrilateral is a parallelogram. ANSWER: 71 Use WXYZ to find each measure. 20. eSolutions Manual - Powered by Cognero 13. ANSWER: x = 3, y = 5 Page 1 18. D ANSWER: Mid-Chapter Quiz: Lessons 6-1 through 6-3 d = 42 and f = 14 Find x and y so that each quadrilateral is a parallelogram. ANSWER: D COORDINATE GEOMETRY Determine whether the figure is a parallelogram. Justify your answer with the method indicated. 24. A(–6, –5), B(–1, –4), C(0, –1), D(–5, –2); Distance Formula ANSWER: Yes; both pairs of opposite sides must be congruent. The distance between A and B is . The distance 20. ANSWER: x = 3, y = 5 between B and C is and D is . The distance between C . The distance between D and A is . Since both pairs of opposite sides are congruent, ABCD is a parallelogram. 21. 25. Q(–5, 2), R(–3,–6), S(2, 2), T(–1, 6); Slope Formula ANSWER: x = 8, y = 7 ANSWER: No; both pairs of opposite sides must be parallel; 23. MULTIPLE CHOICE Which of the following quadrilaterals is not a parallelogram? since the slope of parallelogram. slope of , QRST is not a A B C D ANSWER: D COORDINATE GEOMETRY Determine whether the figure is a parallelogram. Justify your answer with the method indicated. 24. A(–6, –5), B(–1, –4), C(0, –1), D(–5, –2); Distance Formula eSolutions Manual - Powered by Cognero ANSWER: Yes; both pairs of opposite sides must be congruent. The distance between A and B is . The distance Page 2