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Geometry Chapter 6 Review

Geometry Chapter 6 Review. Use paper and pencil to solve. Click on the screen to show the answer. Find the sum of the measures of the interior angles of a convex 30-gon. 30. 168. 360. 5400. 5040. Find the measure of one interior angle of a convex decagon. 360. 80. 1440. 180. 144.

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Geometry Chapter 6 Review

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  1. Geometry Chapter 6 Review

  2. Use paper and pencil to solve.Click on the screen to show the answer.

  3. Find the sum of the measures of the interior angles of a convex 30-gon. 30 168 360 5400 5040

  4. Find the measure of one interior angle of a convex decagon. 360 80 1440 180 144

  5. Find the sum of the measures of the exterior angles of a convex 21-gon. 210 3420 180 21 360

  6. If the measure of each interior angle of a regular polygon is 108, find the number of sides in the figure. 108 15 9 72 5

  7. Find x for parallelogram ABCD if BC = 3x + 20 and AD = 5x – 12. 5 21.5 10.25 4 16

  8. Parallelogram ABCD has vertices A(0,0), B (2,4) and C(10,4). Find the possible coordinates of D. (0, 8) (10,8) (0,4) (10,0) (8,0)

  9. ABCD is a rectangle with diagonals AC and BD. If AC = 2x + 10 and BD = 56, find x. 18 122 78 33 23

  10. Find the median of a trapezoid with bases of 15 m and 27 m. 24 19 6 12 21

  11. The length of one base of a trapezoid is 44, the median is 36 and the other base is 2x + 10. Find x. 35 40 21 17 9

  12. Find x. x X-20 X + 40 2x + 10 60 138 102 30 66

  13. On a coordinate plane, the four corners of Ronald’s garden are located at (0,2), (4, 6), (8, 2) and (4, -2). Which of the following most accurately describes the shape of Ronald’s garden? parallelogram trapezoid rhombus rectangle square

  14. Find x and y so that ABCD will be a parallelogram. A D 24˚ (y-10)˚ 32˚ 4x B C X = 8, y = 34 X = 20 , y = 2 X = 20, y = 42 X = 6, y = 22 X = 6, y = 42

  15. In trapezoid DEFG, find the measure of angle D. E F 136 72 D G 28 136 108 72 44

  16. K For rhombus GHJK, find angle 1. 1 G J 22⁰ H 111 90 44 22 68

  17. Determine whether ABCD is a parallelogram. Justify your answer. B A C D Yes; opposite sides congruent (T6.3) Yes; opposite angles congruent (T6.10) Yes: opposite sides parallel (def’n of parallelogram) No; not enough information Yes; opposite sides congruent (T6.9)

  18. Given rectangle ABCD, find the measure of angle ABD. D A 3x + 6 5x - 4 B C 44 9 51 21 39

  19. Name the missing coordinates for the rectangle with length twice the width. C(?,?) B(0,a) A(0,0) D(?,?) C(2a, b) , D(0, 2a) C(a, b) , D(0, a) C(a, b) , D(a, 0) C(2a, b) , D(2a, 0) C(2a,a) , D(2a, 0)

  20. Give the reason for the second line in the proof. D A Given: ABCD is parallelogram Prove: AC BD C B T 6.9; opposite sides congruent make a parallelogram given substitution CPCTC T6.3; opposite sides of a parallelogram are congruent

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