ANSWERS
LESSON 1.1 Building Blocks of Geometry
1. S 5. NS 8. KN 9.
A 3.2 cm M 2.0 cm D
2. 9 cm 6. PQ KL , NM
3. SN 7. SP LM , NO LO
4. endpoint
17. m APB would have to be 214°, which is larger than an angle measure mess be. 18. First it increases, then it is undefined, then decreases, then undefined, then increases.
C B
LESSON 1.3 Whats a Widget?
1. e 5. g 9. j 2. d 6. k 10. l 3. f 7. b 11. h 4. c 8. i 12. a
10.
2.5 cm A C
2.5 cm
B
13. Sample answers: sides of a road, columns, telephone poles
D 5 cm E
5 cm
11. E( 14, 15) 12. AB , AC , AD , AE , AF , BC , BD , BE , BF , CD , CE , CF , DE , DF , EF (15 lines)
B C
14. They have the same measure, 13°. Because m Q 77°, its complement has measure 13°. So, m R 13°, which is the same as m P. 15.
D Q
1 2
16.
P
R
A
F
E
3
13. 2 lines
Z Y U X V W
17.
B C A Y X
14. Possible planar set: {C, D, H, G}; 12 different sets
LESSON 1.4 Polygons LESSON 1.2 Poolroom Math
1. the vertex 4. 126° 7. 47° 10. 110° 2. the bisector 3. a side 5. DAE 6. 133° 9. 70°
15° M O
Polygon name 1. Triangle 2. Quadrilateral 3. Pentagon 4. Hexagon 5. Heptagon 6. Octagon 7. Decagon 8. Dodecagon
Number of sides 3 4 5 6 7 8 10 12
Number of diagonals 0 2 5 9 14 20 35 54
8. 63° 11. N
12.
R
13.
90°
160° z
I
G
9. 15. great hundred° 16.
75°
P
E N
10.
D
Q U A
14. 90°
T A
Discovering Geometry hold Your Skills
©2003 Key Curriculum Press
ANSWERS
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11.
G
H
A B
LESSON 1.6 Circles
1.
O A B
F E D
C
D
12. AC , AD , AE 13. Possible answer: AB and BC 14. Possible answer: A and B 2. 48°
C
15. Possible answer: AC and FD 16. 82° 20. 12 17. 7.2 18. 61° 19. 16.1
4. 228° 5. 312° 1 6. 30° 7. 105° 8. 67 2 ° 9. The fit in goes through the center, P. (It is the diameter.)
3. 132°
P
10.
11.
LESSON 1.5 Triangles and Special Quadrilaterals
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