Geometry Chapter 6 Review Use paper and pencil

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

1. Find the sum of the measures of the interior angles of a convex

2. Find the measure of one interior angle of a convex decagon. A. 80

3. Find the sum of the measures of the exterior angles of a convex

4. If the measure of each interior angle of a regular polygon is 108,

5. Find x for parallelogram ABCD if BC = 3 x + 20 and

6. Parallelogram ABCD has vertices A(0, 0), B (2, 4) and C(10, 4). Find

7. ABCD is a rectangle with diagonals AC and BD. If AC = 2

8. Find the median of a trapezoid with bases of 15 m and 27

9. The length of one base of a trapezoid is 44, the median is

10. Find x. A. 138 B. 30 C. 102 D. 66 E. 60 x

11. On a coordinate plane, the four corners of Ronald’s garden are located at

12. Find x and y so that ABCD will be a parallelogram. A A.

13. In trapezoid DEFG, find the measure of angle D. D A. 28 B.

K 14. For rhombus GHJK, find angle 1. G 1 J 22⁰ H A.

15. Determine whether ABCD is a parallelogram. Justify your answer. B A A. Yes;

16. Given rectangle ABCD, find the measure of angle ABD. D A A. 9

17. Name the missing coordinates for the rectangle with length twice the width. B(0,

18. Give the reason for the second A line in the proof C B

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Geometry Chapter 6 Review

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

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

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

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

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

5. Find x for parallelogram ABCD if BC = 3 x + 20 and AD = 5 x – 12. A. 16 B. 4 C. 10. 25 D. 21. 5 E. 5

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

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

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

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

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

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

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

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

K 14. For rhombus GHJK, find angle 1. G 1 J 22⁰ H A. 68 B. 22 C. 44 D. 90 E. 111

15. Determine whether ABCD is a parallelogram. Justify your answer. B A A. Yes; opposite sides congruent (T 6. 9) B. No; not enough information D C. Yes: opposite sides parallel (def’n of parallelogram) D. Yes; opposite angles congruent (T 6. 10) E. Yes; opposite sides congruent (T 6. 3) C

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

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

18. Give the reason for the second A line in the proof C B A. given B. CPCTC D statement reason ABCD is parallelogram given ? C. substitution D. T 6. 3; opposite sides of a parallelogram are congruent E. T 6. 9; opposite sides congruent make a parallelogram