1. Placing Figures in the Coordinate Plane
GEOMETRY LESSON 6-6
Pages Exercises
1. W(0, h); Z(b, 0)
2. W(a, a); Z(a, 0)
3. W(–b, b); Z(–b, –b)
4. W(0, b); Z(a, 0)
5. W(–r, 0); Z(0, –t)
6. W(–b, c); Z(0, c)
, ; –
8. a, ; undefined
9. (–b, 0); undefined
, ; –
11. – – ; –
12. – , c ; 0
13. a. (2a, 0)
b. (0, 2b)
c. (a, b)
d. b2 + a2
13. (continued)
e. b2 + a2
f. b2 + a2
g. MA = MB = MC
14–19. Answers may vary. Samples are given.
14. A, C, H, F
15. B, D, H, F
16. A, B, F, E a 2 b 2 b a r 2 t 2 t r b 2 b 2 h 2 h b a 2
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2. Placing Figures in the Coordinate Plane
GEOMETRY LESSON 6-6
17. A, C, G, E
18. A, C, F, E
19. A, D, G, F
20. W(0, 2h); Z(2b, 0)
21. W(2a, 2a); Z(2a, 0)
22. W(–2b, 2b); Z(–2b, –2b)
23. W(0, b); Z(2a, 0)
24. Z(0, –2t); W(–2r, 0)
25. W(–2b, 2c); Z(0, 2c)
26. a. Diag. of a rhombus are .
b. Diag. of a that is not a rhombus are not .
27. Answers may vary. Sample: r = 3, t = 2;
slopes are and – ;
all lengths are ; the opp. sides have the same slope, so they are . The 4
27. (continued)
sides are .
28. (c – a, b)
29. (a, 0)
30. (–b, 0)
31. a.
b. (–b, 0), (0, b),
(b, 0), (0, –b) 2 3
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3. Placing Figures in the Coordinate Plane
GEOMETRY LESSON 6-6
31. (continued)
c. b 2
d. 1, –1
e. Yes, because the product of the slopes is –1.
32. a.
32. (continued) b.
c. b2 + 4c2
d. b2 + 4c2
e. the lengths are =.
33.
34. Step 1: (0, 0)
Step 2: (a, 0)
Step 3: Since m m = 180, 1 and must
be compl and
2 are the acute of a rt
Step 4: (–b, 0)
Step 5: (–b, a)
Step 6: Using the formula for slope, the s
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4. Placing Figures in the Coordinate Plane
GEOMETRY LESSON 6-6
34. (continued)
slope for 1 =
and the slope for 2
= – Mult. the
slopes, • – = –1.
35. B
36. F
37. C
38. C
39. A
40. C
41. [2] (b, a); the diag. of a rectangle bisect each other.
[1] no conclusion given
42. 62, 118, 118; 2.5
43. (3, 2)
44. (–3, –4)
45. a. Reflexive
b. AAS b a a b b a a b
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