Download chp 6 test

Name _______________________________________ Date ____________________
Polygons and Quadrilaterals
Chapter 6 Test
Circle the best answer (3 points each).
1. Which best describes the figure?
A) regular convex heptagon
B) irregular convex heptagon
C) irregular concave heptagon
D) irregular convex hexagon
2. What is the measure of each interior angle in a regular convex nonagon?
A) 40
B) 180
C) 140
D) 1260
3. What is the value of a?
A) 2
B) 180
C) 90
D) Not here
4. Which of the quadrilaterals MUST be parallelograms?
A) 1 only
B) Neither 1 nor 2
C) 2 only
D) Both 1 and 2
5. Which is the best name for the quadrilateral with vertices at (2, 2), (5, 2), (1, 5), and
(2, 1)?
A) parallelogram B) rhombus
C) rectangle
D) square
6. In parallelogram DEFG, what is EG ?
A) 25
B) 50
C) 30
D) Not here
7. In parallelogram JKLM, what is the value of mK?
A) 15
B) 65
C) 57
D) 115
8. In kite UVWX, mXUV  84°, and mWVX  68°. What is mVWX?
A) 22
B) 44
C) 42
D) 45
9. GE  5x  2 and DF  8x  7. What is GE?
A) 16
B) 17
C) 18
D) 19
Show work for partial credit (4 - 8 points each).
10. Find the sum of the measures of the interior angles of the polygon.
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11. Find the measures of each interior AND exterior angle of a regular octagon.
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12. ABCD is a parallelogram. Find 𝐴𝐵 and 𝐵𝑋 .
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13. EFGH is a parallelogram. Find mE.
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14. ABCD is a rectangle with diagonals BD and AC that intersect at X.
BD  12x  6 inches and 𝐴𝑋  4x  5 inches. Find 𝐷𝑋.
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15. RSTQ is a rhombus. Find mPST.
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16. Find the coordinates of point G to make quadrilateral EFGH with E (1, -2), F (-5, 0), and H
(2, 1) a parallelogram.
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17. In kite JKLM, mLMN  25, and
mLKN  43. Find mMLK.
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18. In trapezoid ABCD, find mA.
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19. In trapezoid PQRS, what is the length of midsegment XY ?
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20. Find the diagonal lengths and slopes to determine whether the parallelogram with vertices
(3, 2), (1, 4), (8, 5), and (6, 7) is a rectangle, rhombus, and/or square. Write down 2
lengths, 2 slopes, and all names that apply (8 pts).
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21. Make up a question from the chapter AND solve it.
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Challenge problems (3 pts each)
Find the perimeter of a square if half of a diagonal is equal to 8 inches.
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Determine the value of x and y.
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Brooke has taken 4 math tests so far this term. She scored an 88, 87, 94, and 84. What
score does she need on the last test to average a 90?
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