SYSTEMATIC REVIEW 4D - LESSON PRACTICE SA

4. right

5. 180°6. PTR or RTP

7. 90°8. 90°9. T

10. lines MS, ST or MT11. right

12. acute

13. obtuse14. straight

15. acute

16. see drawing

(labeling of lines can be switched)

17. infinite

18. see drawing

19. LCEB, LBED, LDEA, LAEC20. E

17. false: A point has neither

length nor width.

18. true

19. 30 = 42Y + 1830-18 = 42Y

12 = 42Y11. = Y42

~=Y7

20. 15 = -45M-3015+30 = -45M

45 = -45M

~=M-45

-1= M

A Lesson Practice SA1. parallel

2. perpendicular

3. bisector

4. perpendicular bisector

5. midpoint

6. Follow the procedure in the text.

Use a ruler to check that the line

segments of each side of the

bisector have equal lengths.

7. Follow the procedure in the text.

Use a ruler to check that the line

segments of each side of the

bisector have equal lengths.

8. Follow the procedure in the text.Use a protractor to check that the angles

on each side of the bisector have

equal measures.

9. Follow the procedure in the text.

Use a protractor to check that the angles

on each side of the bisector have

equal measures.

Systematic Review 4E1. right

2. obtuse

3. acute4. straight

5. reflex

6. H

7. Z8. H9. LBHE or LEHB

10. LYPS or LSPY11. obtuse

12. obtuse13. straight

14. reflex

15. false: A line is one-dimensional.

16. true

SOLUTIONS GEOMETRY134

Lesson Practice 5B1. right2. intersect3. angle, line segment4. right5. XZ6. Follow the procedure in the text.

Use a ruler to check that the linesegments of each side of thebisector have equal lengths.

7. Follow the procedure in the text.Use a ruler to check that the linesegments of each side of thebisector have equal lengths.

8. Follow the procedure in the text.Use a protractor to check that the angleson each side of the bisector haveequal measures.

9. Follow the procedure in the text.Use a protractor to check that the angleson each side of the bisector haveequal measures.

Systematic Review 5C1. c

2. f3. b4. e5. d6. a7. E8. 180°9. compass, straightedge

10. any angle between 180° and 360°11. null set12. Use a ruler to check.13. Use a ruler to check. The segment

on each side of the bisector

should measure 1i in.

14. Use a protractor to check.

CEOMETRY

LESSON PRACTICE 5B - SYSTEMATIC REVIEW 5D

15. Use a protractor to check.LDEG and LFEGshould each measure 34°.

16. reflex17. right18. acute19. obtuse20. straight

Systematic Review 5D1. bisector2. parallel3. reflex4. perpendicular5. similar6. congruent7. lines QE, QD, ED8. Q9. yes

10. Q11. yes: Although this plane is not

shown, any pair of intersectinglines lie in the same plane.

11. yes: Although this plane is notshown, any pair of intersectinglines lie in the same plane.

12. Use a ruler to check.13. Use a ruler to check. The

segment on each side of the

bisector should measure 1~ in.

14. Use a protractor to check.

1 5. Use a protractor to check.LABG and LeBGshould each measure 23°.

16. o

17.~

"oLSOLUTIONS 1 3 5

SYSTEMATIC REVIEW 5 E - LESSON PRACTICE 6B

19.L 19. 16X- 8 = 568(2X-l) = 8(7)

2X-l = 72X = 7+ 12X = 8X=§.=4

2

20. 22X+33 = 4411(2X+3) = 11(4)

2X+3 = 42X = 4-32X = 1

x=l2

20.~

Systematic Review 5E1. f

2. e3. b4. c5. g

6. a7. d8. false: Use a compass and

a straightedge

9. true

10. false: The two parts are

congruent.

11. false: The line will be

perpendicular only if

it forms a 90° angle.

12. true

13. Use a ruler to check.

14. Use a ruler to check.

The segment on each side of the

7·bisector should measure 8" In.

15. Use a protractor to check.

16. Use a protractor to check.LXYG and LZYG

should each measure 10°.

17. 24Q + 18Y = 30

6(4Q+3Y)=6(5)

4Q+3Y = 5

18. -14Q - 210 = -42

-7(2Q + 3D) = -7(6)

2Q+3D = 6

Lesson Practice 6B1. LMNQ, LSNR

2. LMNQ, LTNP

3. LYRZ

4. LTNP

5. LQNM or LPNR

Lesson Practice 6A1. LAHG, LCHF

2. LFHB, LGHD

3. LAHG

4. LGHD

5. LLFK or LJFH6. LCHA

7. LHFK or LJFL

8. LDHG

9. 40°: vertical angles

10. 65°: vertical angles

11. 90°: supplementary angles

12. 50°: complementary angles

13. 115°: supplementary angles

14. 90°: vertical ang les

15. f

16. a

17. e18. b19. d

20. c

136 SOLUTIONS GEOMETRY

6. LTNP7. LYRZ or LSRN8. LSNR9. 55°: complementary angles

10. 35°: vertical angles11. 90°: supplementary angles12. 85°: supplementary angles13. 40°: vertical angles14. 55°: vertical angles15. alpha16. complementary17. supplementary18. gamma19. vertical20. delta

Systematic Review 6C1. 2; 5: If the student referred to

these angles using their three-letternames, th~ would be correctas well.

2. 43. BFD

4. BFEor AFD

5. BFD or AFC or AFE

6. 17. 40°; complementary angles8. 40°; If mL2 = 50°, then mL1 = 40°,

since L1 and L2 arecomplementary. If mL1 = 40°,then mL4 = 40°, sinceL1 and L4 are vertical angles.

9. 1 or 410. 140°; supplementary angles11. any two of angles 1, 2, and 412. L3; LCFE

13. Use a ruler to check. Thesegments on each side of the

3.bisector should measure 4 In.

GEOMETRY

LESSON PRACTICE 6B - SYSTEMATIC REVIEW 6E

14. Use a protractor to check. Theangles on each side of thebisector should measure 26°.

15. perpendicular16. 90°17. 180°18. 90°19. 180°20. empty or null

Systematic Review 6D1. true2. false: They are complementary.3. true4. false: Perpendicular angles were

not in the list of given information.5. false: ray GK is the common side.6. true7. 39°: vertical angles8. 51°: complementary angles9. 90°: perpendicular lines form

90° angles10. right11. supplementary12. 360°13. f14. e15. b16. a

17. g18. d19. h20. c

Systematic Review 6E1. lines QR, RV, and QV2. RT, XR, XT

3. 360°+8 = 45°

SOLUTIONS 137

SYSTEMATIC REVIEW 6E - LESSON PRACTICE 7B

3. interior4. congruent5. alternate6. parallel7. same8. congruent9. 60°: vertical angles

10. 60°: corresponding angles11. L1 and L2 are supplementary, so

mL2= 180°- mL1 = 180°-70°= 110°.L2 and L6 are correspondingangles, so they are congruent.Thus, mL6 = 110°.

12. 70°: corresponding angles13. 120°: corresponding angles14. 120°: vertical angles15. yes: Since L1 and L5 are

corresponding angles, they havethe same measure. z's5 and 17 are supplementary,so angles 1 and 17 are also.

16. yes17. no: They are alternate interior angles.18. no: They are supplementary

angles and add up to 180°. If--.they were congruent,they would both be 90°.

19. yes: corresponding angles(It may help to ignore line MP.)

20. yes: Angles 12 and 13 are alternateexterior angles.(It may help to ignore lines LRand MP.)

4. If mL1 = 90°, then mLSRV = 90°since they are supplementary.LSRV is made up of the threesmaller angles in the problem, sothe sum of their measures isequal to that of LSRV.

5. obtuse6. yes: Both are 90°, so they add

up to 180°.7. no: Complementary angles add

up to 90°.8. yes9. If L's 2, 3 and 4 are congruent,

and add up to 90°, the measure

of each must be 9~0 or 30°.

Since L8 and L4 are verticalangles, they are congruent,so mL8 = 30°.

10. 2: vertical angles11. acute12. mL2 + mL3 + mL4 = 90°

mL3 = 90°-(25°+35°)mL3 = 90°-60°= 30°

13. mLYRX = mL3: vertical anglesmLYRX = 30° (see #1 2)

14. ray RQ15. Use your ruler to check that the

resulting line segments are equalin length.

16. Use your protractor to check thatthe resulting angles are equalin measure.

17. (_7)2 = (-7)(-7) = 49

18. _(15)2 = -(15)(15) = -225

19. -1 22 = - (12)(12) = -1 44

20. _(9)2 = -(9)(9) = -81

Lesson Practice 7B1. false2. true3. true4. false: They are always congruent.5. false: Two parallel lines are cut by

a transversal.6. true

Lesson Practice 7A1. transversal2. exterior

138 SOLUTIONS GEOMETRY