Answer Key for Geometry Lesson 3 - Practice Level B, Lecture notes of Geometry

An answer key for the Practice Level B exercises in a Geometry lesson (Lesson 3). It includes the answers for various geometry-related questions and theorems. The exercises cover topics such as perpendicular and parallel lines, corresponding and alternate angles, and the properties of right angles.

Typology: Lecture notes

2021/2022

Uploaded on 08/05/2022

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Answer Key
Lesson 3.1
Practice Level B
1. perpendicular 2. parallel 3. skew
4. perpendicular 5. parallel 6.
@
##
$
FG ,
@
##
$
DC ,
@
##
$
AB
7.
@
##
$
AE ,
@
##
$
BH ,
@
##
$
EF ,
@
##
$
HG 8.
@
##
$
EF 9. planes EFG, ABC, ADF, and BCG 10. plane EHB
11. corresponding 12. consecutive interior
13. alternate exterior 14. alternate interior
15. corresponding 16. consecutive interior
17.
@
##
$
PM i
@
##
$
QS 18.
@
##
$
VN
@
##
$
RT 19. No; the lines intersect at T. 20. No; there is no right angle symbol
shown. 21. never 22. never
23. sometimes 24. sometimes
25. 26.
27. 28.
29– 30. Check students’ drawings. 31. true
32. true 33. false 34. true
pf3
pf4
pf5

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Lesson 3.

Practice Level B

  1. perpendicular 2. parallel 3. skew
  2. perpendicular 5. parallel 6. @ FG ##$, @ DC ##$, @ AB ##$
  3. @ AE ##$, @ BH ##$, @ EF ##$, @ HG ##$ 8. @ EF ##$ 9. planes EFG , ABC , ADF , and BCG 10. plane EHB
  4. corresponding 12. consecutive interior
  5. alternate exterior 14. alternate interior
  6. corresponding 16. consecutive interior
  7. @ PM ##$ i @ QS ##$ 18. @ VN ##$ ⊥ @ RT ##$ 19. No; the lines intersect at T. 20. No; there is no right angle symbol shown. 21. never 22. never
  8. sometimes 24. sometimes

29–30. Check students’ drawings. 31. true

  1. true 33. false 34. true

Lesson 3.

Practice Level B

  1. 508 ; Corresponding Angles Postulate
  2. 1358 ; Consecutive Interior Angles Theorem
  3. 1308 ; Alternate Exterior Angles Theorem
  4. 1238 ; Alternate Interior Angles Theorem
  5. 608 ; 120 8 6. 1208 ; 120 8 7. 1008 ; 100 8
  6. 568 ; 56 8 9. 1178 ; 63 8 10. 1088 ; 72 8
  7. 110; 110 12. 90; 90 13. 95; 85 14. 75; 75
  8. 106; 74 16. 90; 90 17. 65 18. 56 19. 48
  9. 23 21. 40 22. 77 23. Given
  10. Perpendicular lines form right angles.
  11. Definition of right angle 26. Given
  12. Corresponding Angles Postulate
  13. Definition of congruent angles
  14. Substitution Property of Equality
  15. Definition of right angle
  16. Perpendicular lines form right angles.

Lesson 3.

Practice Level B

  1. 3 2. 2 }^2 5 3.^1 4.^ m @ AB ##$^5

(^3) } 2 ,^ m @ CD ##$^5

3 } 2 ; yes

  1. m @ AB ##$ 5 1, m @ CD ##$ 5

(^2) } 3 ; no

  1. m @ AB ##$ 5 2

(^1) } 2 ,^ m @ CD ##$ 5 2

1 } 2 ; yes

  1. m @ AB ##$ 5 2, m @ CD ##$ 5 2

(^1) } 2 ; yes

  1. m @ AB ##$ 5 3, m @ CD ##$ 5 2

(^1) } 3 ; yes

  1. m @ AB ##$ 5

(^3) } 2 ,^ m @ CD ##$^5

(^3) } 2 ; no

  1. parallel 11. neither 12. perpendicular
  2. neither 14. parallel 15. perpendicular
  3. yes 17. yes 18. no 19. yes
  4. no 21. no
  5. line b 29. line a
  6. m @ AB ##$ 5

(^3) } 2 ,^ m @ CD ##$^5

(^3) } 2 ,^ m @ BC ##$^5 0,^ m @ AD ##$^5 0;

The opposite sides of the figure are parallel because they have the same slope. 31. 60 feet

Lesson 3.

Practice Level B

  1. y 5

(^2) } 3 x^^1 1 2.^ y^^5 2 x^^1

  1. y 5 2

(^3) } 4 x^^1

(^3) } 2 4.^ y^^5 }^2 3 x^^2

(^1) } 3

  1. y 5 22 x 2 3 6. y 5

(^1) } 3 x^^1

(^4) } 3

  1. y 5 2

(^1) } 2 x^^2 1 8.^ y^^5 4 x^^2

  1. y 5 22 x 2 14 10. y 5 22 x 1 30
  2. y 5 3 x 2 7 12. x 5 3 13. y 5 x 2 1
  3. y 5 23 x 1 11 15. y 5 21 16. y 5 2 x 2 3
  4. y 5 4 x 1 4 18. y 5 3
  5. y 5 500 x 1 5000; The slope is the monthly fee, $500, and the y -intercept is the initial cost to join the club, $5000.