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Lesson 1.
Practice Level B
- true 2. true 3. false 4. true 5. false
- true 7. false 8. true
- Sample answer: 10. Sample answer:
- Sample answer: 12. Sample answer:
AB ##$, # BA ##$, # AC ##$ , # CA ##$ , # BC ##$ , # CB ##$ , # CD ##$ , # DC ##$ , # EC ##$ ,
CE ##$ , # ED ##$ , # DE ##$
Sample answer: # AB ##$, # BA ##$, and # CA ##$ , # CB ##$
@ EC ##$ , @ CD ##$ , @ AB ##$
Sample answer:
yes 19. no 20. no 21. yes 22. no 23. no
ray segment
rays point
- a. four-legged stool; Possible explanation: The tips of the 4 legs are not coplanar. b. Possible explanation: The three-legged stool will not rock because the tips of its legs will always be coplanar. The four-legged stool may rock if the tips of its legs are not coplanar.
- a. Yes, it has one vanishing point.
b.
c.
Lesson 1.
Practice Level B
- 3.4 cm 2. 1.8 cm 3. 2.1 cm 4. 25.
- 29 6. 6
congruent not congruent
not congruent congruent
3 12. 9 13. 4 14. 6 15. 6 16. 11
8 18. 2 19. 11 20. 43 21. 33 22. 32
11 24. 44 25. 24 26. 28 27. 32
2 x 1 3 x 5 25; HJ 5 10; JK 5 15
} x 4 1 3 x^^2 4 5 22;^ HJ^^5 2;^ JK^^5
- 5 x 2 4 1 8 x 2 10 5 38; HJ 5 16; JK 5 22
- 5 x 2 3 1 x 2 9 5 5 x ; HJ 5 57; JK 5 3
- 3.1 mi
Lesson 1.
Practice Level B
- 7 cm 2. 13.5 ft 3. 9 yd 4. 7.4 m 5. 24
- 26 7. 10 8. 1 5, 2
(^1) } 2 2 9.^ (2, 2)^ 10.^ (1, 4)
- 1 22
(^1) } 2 ,^210 2 12.^ (^2 6, 4)^ 13.^ (3,^2 8)
- (1, 2 14) 15. ( 2 19, 2 3) 16. 3.2 17. 5.
- 4.5 19. 11.3 20. 9; 1.5 21. 7; 2 4.5 22. AB 5 Ï
} 13 ; CD 5 Ï
} 13 ; not congruent
- RS 5 5; TU 5 5; congruent
- KL 5 Ï
} 85 ; MN 5 9; congruent
- OP 5 9; QR 5 5; not congruent
- a. 4.8 mi b. 1.5 h
- Dunkirk to Clearfield 5 10.2 mi; Dunkirk to Lake City 5 8.6 mi; Dunkirk to Allentown 5 4.1 mi; Clearfield to Lake City 5 7.1 mi; Clearfield to Allentown 5 9.2 mi; Lake City to Allentown 5 5 mi
- Dunkirk and Allentown; Dunkirk and Clearfield
- Choice C because the total distance of the path is closest to 26 miles.
Lesson 1.
Practice Level B
- 108 ; 170 8 2. 578 ; 123 8 3. 188 ; 162 8 4. 838 ; 97 8 5. 408 ; 50 8 6. 388 ; 142 8 7. 858 ; 95 8
- neither 9. neither 10. linear pair
- vertical angles 12. vertical angles
- 22.5 8 ; 67.5 8 14. 208 ; 160 8 15. 718 ; 109 8
- x 5 10, y 5 8.25 17. x 5 5, y 5 50
- x 5 13, y 5 23 19. x 5 6, y 5 24
- x 5 3.25, y 5 5.5 21. x 5 21, y 5 35
- never 23. always 24. sometimes
- 558 ; 35 8 26. 508 ; 40 8 27. 32.4 8 ; 57.6 8
- 608 ; 30 8 29. 658 ; 115 8 30. 1508 ; 30 8
- 1638 ; 17 8 32. 1608 ; 20 8
- Sample answer: ∠ AIB and ∠ AIH , ∠ AJB and ∠ AJG 34. Sample answer: ∠ HBG and ∠ GBC , ∠ BCF and ∠ FCE 35. Sample answer: ∠ AIB and ∠ HIJ , ∠ BIJ and ∠ AIH 36. Sample answer: ∠ AIB and ∠ AIH , ∠ AJB and ∠ AJG
- Sample answer: ∠ AIB and ∠ AIH , ∠ AJB and ∠ AJG 38. The angle of elevation is increasing. The closer the plane gets, the higher up you have to look.
Lesson 1.
Practice Level B
- The figure is not a polygon because part of the figure is not a segment. 2. The figure is a concave polygon. 3. The figure is a convex polygon. 4. regular pentagon; It has 5 sides, and it is both equilateral and equiangular.
- equilateral quadrilateral; It has 4 sides. It is equilateral, but not equiangular. 6. triangle; It has 3 sides. It is neither equilateral nor equiangular, so it is not regular.
- hexagon; It has 6 sides. It is neither equilateral nor equiangular, so it is not regular. 8. 50 ft
- 1448 10. 23 km 11. sometimes
- sometimes 13. never 14. always
- Sample answer: 16. Sample answer:
- Sample answer: 18. Sample answer:
(^1) } 2 21.^67 22.^61 23.^6 24.^5
- quadrilateral;
AC (^5) Ï
}} (3 2 2)^2 1 (0 2 3)^2 5 Ï
} 10 ,
AD (^5) Ï
}} (3 2 4)^2 1 (0 2 3)^2 5 Ï
} 10 ,
BC (^5) Ï
}} (3 2 2)^2 1 (6 2 3)^2 5 Ï
} 10 ,
BD (^5) Ï
}} (3 2 4)^2 1 (6 2 3)^2 5 Ï
} 10 ;
AC 5 AD 5 BC 5 BD
- 5.5 ft; The sides of the triangle are congruent because the triangle is regular. Using this fact, write and solve an equation to find x. Then determine the perimeter of the triangle in feet.
- a. convex b. equiangular octagon c. 2; This octagon has only 2 lines of symmetry while a regular octa- gon has 8.
