Apr 8, 2008

Geometry Review (from Study Guide)

Here is a key to the study guide. I've also uploaded answers from the book part of the review here.

1a. 540 degrees
1b. 127 degrees
2. x=56
3. x=18
4. 157.5 degrees
5. 135 degrees
6. 225 degrees
7a. 101 degrees
7b. y=8, x=11
8. p=62, q=9
9. c=6, d=9
10a. 61 degrees
10b. g=8, h=20
11a. g=3.5, f=88
11b. x=2, y=9
12a. v=4, t=9
12b. (0.5, 1) !!!typo - should be D(-3,0)
13a. yes
13b. yes
14. (2)CPCTC, (3)opposite sides in a parallelogram are congruent
15. see #14
16. x=20
17. x=7
18a. Use distance formula
18b. Use slope formula
19. parallelogram, rhombus
20. x=27, y=4
21a. 60 degrees
21b. rectangle & square
22a. 56 degrees
22b. 112 degrees
22c. 16.5
22d. about 18.5 (use inverse cosine)
23. (2)def of rectangle (3)angle RTA is congruent to angle CEA (4)angle RAT is congruent to angle EAC (4) AAS
24. Many different ways to show - AAS, SSS, SAS most common if you use the fact that diagonals bisect each other
25a. RT=15
25b. sometimes
26a. yes
26b. x=5.25
27a. yes
27b. Use CPCTC to show DA=EV, the it is by definition since bases are given parallel
28. 118 degrees
29. 2root10 & 2root5
30a. No
30b. trapezoid
30c. (3root13)/2
31a. Isosceles trapezoid
31b. rectangle
32a. no !!!Typo - forget that isosceles trapezoid stuff - look at the specific terms
32b. yes
33. angle B & angle A could be congruent, for example

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