1. Constructing Parallel and Perpendicular Lines
GEOMETRY LESSON 3-7
5–7. Constructions may vary. Samples using the following segments are shown. 5. 6.
Pages Exercises 1.
|| AB 2. 3. 4.
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2. Constructing Parallel and Perpendicular Lines
GEOMETRY LESSON 3-7
11. RS
12. 7. 8. AB 9.
10.
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3. Constructing Parallel and Perpendicular Lines
GEOMETRY LESSON 3-7
17.
18.
13. RS
14.
15. Construct a alt. int. ; then draw the || line.
16. a–b
17–25. Constructions may vary. Samples are given.
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4. Constructing Parallel and Perpendicular Lines
GEOMETRY LESSON 3-7
23.
24. a.
19.
20.
21. a.
b. The sides are || and .
c. Check students’ work.
22.
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5. Constructing Parallel and Perpendicular Lines
GEOMETRY LESSON 3-7
24. (continued)
b. Answers may vary. Sample:
c. One; if the lengths for the 3 sides are given, only one is possible; many different quad. are possible because the formed by the sides can vary.
25. a–c.
d. The sides of the smaller are half the length of the sides of the larger that they are || to.
e. Check students’ work.
26. a–b. Check students’ work.
c. p || m; in a plane, two lines to a third line are ||.
27–28. Answers may vary. Samples are given.
27.
The quad. is a rectangle. s
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6. Constructing Parallel and Perpendicular Lines
GEOMETRY LESSON 3-7
32.
33.
28.
The quad. is a square.
29.
30.
31.
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7. Constructing Parallel and Perpendicular Lines
GEOMETRY LESSON 3-7
34.
35. Not possible; if a = 2b = 2c, then 2a = 2b + 2c or a = b + c. The smaller sides would meet at the midpoint of the longer side, forming a segment.
36. Not possible; the smaller sides would meet at the midpoint of the longer side, forming a segment.
37. A
38. I
39. [2] a.
39. (continued)
b.  All points on the arc with center G are the same dist. from G, so GR = GT. The is isosc. because an isosc. must have at least two sides of the same length.
[1]  incorrect sketch OR incorrect classification
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8. Constructing Parallel and Perpendicular Lines
GEOMETRY LESSON 3-7
40. [2] a. I, IV, III, I
b.  (III): location of compass at points C and G; (I): same
as c and the intersection points of with arcs drawn in (III)
[1] incorrect sequence OR incorrect location of compass point
41. No; the slopes are different.
42. No; the slopes are different.
43. Yes; the slopes are both – .
44. 10
46. EB
47. DF 1 3
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