Chapter 6 Review Activity January 20, 2010
1. Determine the most precise name for the quadrilateral.
Parallelogram
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Chapter 6 Review Activity January 20, 2010
2. Find the values of the variables and the lengths of the sides of the quadrilateral.
x = 7
AB = 11
BC = 11
CD = 11
AD = 11
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Chapter 6 Review Activity January 20, 2010
3. Find the values of the variables and the lengths of the sides of the quadrilateral.
m = 9
s = 42
LO = 43
ON = 26
NM = 43
ML = 26
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Chapter 6 Review Activity January 20, 2010
4. Determine the most precise name for the quadrilateral with the given vertices.
W (0, 5), X (3, 5), Y (3, 1), Z (0, 1)
Rectangle
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Chapter 6 Review Activity January 20, 2010
5. Find the value of x in the parallelogram.
x = 9
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Chapter 6 Review Activity January 20, 2010
6. Find the measures of the numbered angles in the parallelogram.
m 1 = 40o
m 2 = 140o
m 3 = 40o
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Chapter 6 Review Activity January 20, 2010
7. Find the measures of the numbered angles in the parallelogram.
m 1 = 113o
m 2 = 45o
m 3 = 22o
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Chapter 6 Review Activity January 20, 2010
8. Find the measures of the numbered angles in the parallelogram.
m 1 = 32o
m 2 = 98o
m 3 = 50o
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Chapter 6 Review Activity January 20, 2010
9. Find the length of TI in the parallelogram.
TI = 4
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Chapter 6 Review Activity January 20, 2010
10. Find the values of x and y for which the figure must be a parallelogram. x = 2
y = 3
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Chapter 6 Review Activity January 20, 2010
11. Determine whether the figure must be a parallelogram. Explain your answer.
Yes, the diagonals bisect each other.
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Chapter 6 Review Activity January 20, 2010
12. Determine whether the figure must be a parallelogram. Explain your answer.
No, the opposite sides must be parallel and congruent.
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Chapter 6 Review Activity January 20, 2010
13. Find the distance between the given points to the nearest tenth. L (­4, 11), M (­3, 4)
7.1 units
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Chapter 6 Review Activity January 20, 2010
14. Find the coordinates of the midpoint of the segment. The coordinates of the endpoints are given.
C (­1, 5), D (2, ­3)
(0.5, 1)
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Chapter 6 Review Activity January 20, 2010
15. The midpoint of EF is (­3, 7). The coordinates of E are (­5, 10). Find the coordinates of F.
(­1, 4)
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Chapter 6 Review Activity January 20, 2010
16. Choose the best name for the parallelogram and find the measures of the numbered angles.
Rhombus
m 1 = 72o
m 2 = 54o
m 3 = 54o
m 4 = 72o
Jan 17­7:54 PM
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Chapter 6 Review Activity January 20, 2010
17. Choose the best name for the parallelogram and find the measures of the numbered angles.
Rhombus
m 1 = 59o
m 2 = 90o
m 3 = 90o
m 4 = 59o
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Chapter 6 Review Activity January 20, 2010
18. HIJK is a rectangle. Find the value of x and the length of each diagonal. HJ = 3x + 5 IK = 5x ­ 9
x = 7
HJ = 26
IK = 26
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Chapter 6 Review Activity January 20, 2010
19. Find the measures of the numbered angles in the isosceles trapezoid.
m 1 = 67o
m 2 = 113o
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Chapter 6 Review Activity January 20, 2010
20. Find the value of the variable in the isosceles trapezoid.
x = 4
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Chapter 6 Review Activity January 20, 2010
21. Find the measures of the numbered angles in the kite.
m 1 = 90o
m 2 = 63o
m 3 = 63o
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Chapter 6 Review Activity January 20, 2010
22. Find the measures of the numbered angles in the kite.
m 1 = 105.5o
m 2 = 105.5o
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Chapter 6 Review Activity January 20, 2010
23. Complete the following proof.
Slide
Statements
Reasons
1. ABCD is a parallelogram
2. AB // DC, BC // AD
3. 1 ≅ 4, 3 ≅ 2 4. AC ≅ CA
5. ΔABC ≅ ΔCDA
6. AB ≅ CD, BC ≅ DA
1. 2.
3.
4.
5.
6.
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Chapter 6 Review Activity January 20, 2010
24. Review the following definitions from page 306.
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