Geometry Chapter 6 Review Questions and Solutions

Explore a set of geometry review questions involving interior and exterior angles, polygon properties, parallelograms, trapezoids, and more. Test your knowledge and enhance your understanding of geometric concepts with these interactive problems.

• Geometry
• Review
• Angles
• Polygons
• Parallelograms

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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. 1. Find the sum of the measures of the interior angles of a convex 30-gon. A. 5040 B. 5400 360 C. 168 D. 30 E.

4. 2. Find the measure of one interior angle of a convex decagon. A. 80 B. 180 1440 C. 144 D. 360 E.

5. 3. Find the sum of the measures of the exterior angles of a convex 21-gon. 210 A. B. 21 180 C. 3420 D. 360 E.

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

7. 5. Find x for parallelogram ABCD if BC = 3x + 20 and AD = 5x 12. 16 A. B. 4 10.25 C. 21.5 D. 5 E.

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

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

10. 8. Find the median of a trapezoid with bases of 15 m and 27 m. 6 A. B. 12 21 C. 19 D. 24 E.

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

12. 10. Find x. X-20 x 2x + 10 138 A. X + 40 B. 30 102 C. 66 D. 60 E.

13. 11. 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? square A. B. rectangle rhombus C. trapezoid D. parallelogram E.

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

15. E F 13. In trapezoid DEFG, find the measure of angle D. 136 72 D G 28 A. B. 72 108 C. 136 D. 44 E.

16. K 14. For rhombus GHJK, find angle 1. 1 G J 22 H 68 A. B. 22 44 C. 90 D. 111 E.

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

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

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

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