We spent some time reviewing for our chapter 13 quiz today by going over a few more problems on vectors, midpoints, and using coordinates to prove various figures. The students then spent the majority of the period working on their review sheet.
Assignment: Chapter 13 review sheet
Chapter 13 Quiz tomorrow in class
Test 52 Answer key
1. a. 2 radical 5 b. 1/2 c. 5, 1
2. a. radical 61 b. -5/6 c. (-2, -7.5)
3. a. 16 b. undefined c. (4, 0)
4. a. radical 26 b. -1/5 c. (3.7, 5.2)
5. (x - 4)2 + (y - 5)2 = 121
6. (7, -2); 2
7. perpendicular
8. vector
9. equals
10. e + g / 2 , f + h / 2
11. ( 9, 8)
12. ( 5, -5)
13. 5 radical 2
14. (-15, 15)
15. graph of vector
16. a. (3, 4) b. graph of sum of vectors
17. a. both slopes = -2/7
b. perpendicular slopes are 7/2 and -2/7
18. same midpoint for AC and OB; (2, 2.5)
19. midpoint of AB = (8, -4)
slope of AB = 4/1; slope of PM = -1/4; perpendicular slopes
Test 51 answer key
1. undefined
2. 0
3. negative
4. 1/2
5. 1
6. a. 3/5; b. radical 34
7. a. -1 b. 4 radical 2
8. a. -5/2 b. 2 radical 29
9. a. 0 b. 7
10. x2 + + 3)2 = 36
11. (x - u)2 + (y - v)2 = a2
12. a. 2 b. (0, 0)
13. a. 1/2 b. ( 2, -2.5)
14. graph of circle with center at (-2, 1) with a radius of 3; circle is shaded in
15. line graph on axes
16. a. -2/3 b. -2/3 c. 3/2
17. a. -1 b. -1 c. 1
18. 2 radical 13
19. a. slope of AB = 1; slope of BC = 1; slope of AC = 1
b. Graph points to show that B is between A and C; can use distance formula as well to verify
20. a. all 4 sides have length radical 10
b. slope of GA = 1; slope of RM = -1 ; perpendicular slopes
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