1. Classifying Quadrilaterals
GEOMETRY LESSON 6-1
Pages Exercises
, rectangle, rhombus, square
2. parallelogram
3. trapezoid
, rhombus
5. kite
6. trapezoid, isosc. trapezoid
7. rhombus
8. parallelogram
9. rhombus
10. rectangle
11. kite
12. isosc. trapezoid
13. rhombus
14. kite
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2. Classifying Quadrilaterals
GEOMETRY LESSON 6-1
15. trapezoid
16. rectangle
17. quadrilateral
18. isos. trapezoid
19. x = 11, y = 29; 13, 13, 23, 23
20. x = 4, y = 4.8; 4.5, 4.5, 6.8, 6.8
21. x = 2, y = 6; 2, 7, 7, 2
22. x = 1; 4, 4, 4, 9
23. x = 3, y =5; 15, 15, 15, 15
24. x = 5, y = 4; 3, 3, 3, 3
25. 40, 40, 140, 140; 11, 11, 15, 32
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3. Classifying Quadrilaterals
GEOMETRY LESSON 6-1
26. 58, 58, 122, 122; 6, 6, 6, 6
27. rectangle, square, trapezoid
28. Check students’ work
Answers may vary. Samples are given.
29.
30.
31. Impossible; a trapezoid with one rt.
must have another, since two sides are .
32.
33.
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4. Classifying Quadrilaterals
GEOMETRY LESSON 6-1
34.
35. A rhombus has sides, while a kite has 2 pairs of adj. sides , but no opp. sides are Opp. sides of a rhombus
35. (continued)
are , while opp. sides of a kite are not .
36.
37. True; a square is both a rectangle and a rhombus.
38. False; a trapezoid only has one pair of sides.
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5. Classifying Quadrilaterals
GEOMETRY LESSON 6-1
39. False; a kite does not have opp. sides.
40. True; all squares are
41. False; kites are not .
42. False; only rhombuses with rt.
are squares.
43. Rhombuses; all 4 sides are because they come
43. (continued)
from the same cut.
Check students’ work.
46. some isos. trapezoids, some trapezoids.
, rhombus, rectangle, square
48. rectangle, square
49. rhombus, square, kite, some trapezoids
50. A trapezoid has only one pair of sides.
Check students’ sketches.
51. rectangle, , kite
52. rhombus,
53. square, rhombus,
54. rhombus, , kite s s s
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6. Classifying Quadrilaterals
GEOMETRY LESSON 6-1
55. Answers may vary. Sample: a.
N can be anywhere on the can be anywhere on the y-axis except (0, 0),
(0, 2), and (0, –2).
b. For points N mentioned
55. b. (continued)
above, KL = LM and KN = NM, but KL KN.
Explanations may vary. Samples are given.
, rectangle, trapezoid
, kite, rhombus, trapezoid, isos. Trapezoid.
58. kite, , rhombus,
trapezoid, isos. trapezoid
, rectangle, square, rhombus, kite, trapezoid
60. C
61. I
62. C
63. H = /
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7. Classifying Quadrilaterals
GEOMETRY LESSON 6-1
64. [2] Slope of AB is
– . The slope
of BC is 1, so AB and BC are not Since one
is not a right and a rectangle requires all to be right , the figure could not be a rectangle.
[1] incorrect slope OR failure to recognize the information
64. [1] (continued)
provided by the slopes.
65. Yes; the sum of the lengths of any 2 sides is greater than the third side.
66. No;
67. No; mm mm mm
71. 82
72. 90
73. 58
74. y = –3x + 4 3 2 s s
>
>
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