Practice A - rjssolutions.com

Name ———————————————————————
Date ————————————
Practice A
LESSON
1.2
For use with pages 9–14
1. A
2. C
B
3. E
D
cm
LESSON 1.2
Use a ruler to measure the length of the segment to the nearest tenth of
a centimeter. Then draw a segment with the same length.
F
cm
cm
Find the indicated length.
4. Find GJ.
5. Find KM.
8
G
8
H
J
6. Find NQ.
24
K
L
37 2 18 5
7. Find ST.
12
N 4 P
M
8. Find UV.
37
18
R
17
56
T
S
U
45
V
W
Plot the given points in a coordinate plane. Then determine whether the
line segments named are congruent.
9. A(2, 2), B(2, 21), C(0, 22), D(3, 22);
10. E(23, 2), F(1, 2), G(2, 3), H(2, 22);
}
}
AB and CD
}
}
EF and GH
Congruent?
Congruent?
Copyright © Holt McDougal Math. All rights reserved.
y
y
E
A
1
1
x
1
1
x
Use the number line to find the indicated distance.
J
K
29 28 27 26 25 24 23 22 21
11. JK
14. JL
23 to 28
L
0
1
M
2
3
4
5
6
7
8
9
12. KL
13. LM
15. JM
16. KM
Geometry
IDEA! Works
3
Name ———————————————————————
Practice A
LESSON
LESSON 1.2
1.2
Date ————————————
continued
For use with pages 9–14
In the diagram, points P, Q, R, and S are collinear, PS 5 46, PR 5 18, and
PQ 5 QR. Find the indicated length. Mark the lengths on the diagram.
17. PQ
P
18. QR
R
19. QS
20. RS
S
Find the indicated length.
21. Find LM.
22. Find VW.
18
L
x
32
2x
M
23. Find YZ.
T
N
3x
V
27
x18
W
X
2x 1 3
3x 2 1
Y
Z
x 1 2x 5 18
}
Point B is between A and C on AC. Use the given information to write an
equation in terms of x. Solve the equation. Then find AB and BC.
24. AB 5 3x
;x5
BC 5 x
AC 5 20
25. AB 5 2x 2 5
AB 5
BC 5
;x5
BC 5 6x
AC 5 27
Make a
Sketch.
AB 5
BC 5
Then measure the length of the
1
antenna to the nearest }8 inch.
in.
27. Highway You are traveling on a highway starting
at point A. After you have traveled 63 miles
(point B), you see a sign that says it is 87 miles
to your destination (point C).
a. Find the total distance you will travel to get to
mi
your destination.
b. You are traveling at a constant speed of
60 miles per hour. How many hours will
h
the entire trip take?
d
t 5 }r
4
Geometry
IDEA! Works
A
63 mi
B
87 mi
C
Copyright © Holt McDougal Math. All rights reserved.
in.
Cellular LTD
10:10 pm
1
to the nearest }8 inch.
Tues
Measure the length of the
cellular phone
(without the antenna)
W
26. Cellular Phone
Answers
Lesson 1.1
Lesson 1.3
Practice A
Practice A
1. @##$
BA and line h
}
3. plane ABE 4. point E 5. DC
###$
6. ###$
BA, ###$
BC, and ###$
BD 7. ###$
BC and BD
1
4. 15.9 cm 5. 28 ft 6. 22 } in.
4
8. Sample answer:
7. 9 8. 15 9. 118 10. 86 11. (3, 4)
9. Sample answer:
ANSWERS
3
1
1. 12 cm 2. 16 } in. 3. 12 } in.
2
8
2. points B, C, and D
12. (4, 5) 13. (6, 1) 14. (11, 21)
15. 6.4 16. 8.6 17. 4; 0 18. 10; 21
10. Sample answer:
11. Sample answer:
19. JK < 4.1, LM < 4.1; congruent
20. PQ < 5.8, RS 5 5; not congruent
21. about 9.8 yd; about 9.4 yd; about 18.4 yd
12. yes 13. yes 14. no 15. yes 16. point J
17. point J 18. @###$
MN 19. ###$
JK and ###$
JL , ###$
JM and
###$
JN , ###$
JP and ###$
JQ 20. ###$
XZ , ###$
ZX , ###$
YZ , ###$
ZY , ###$
ZV , ###$
ZW,
###$
###$
VW, and WV
21. ###$
ZX and ###$
ZY , ###$
ZV and ###$
ZW 22. @##$
XY and @##$
VW
23. Sample answer:
D
A
B
C
24. yes 25. no 26. intersecting lines
27. intersecting planes 28. All four legs are not
Copyright © Holt McDougal Math. All rights reserved.
of equal length so the bottom of the legs are not
coplanar.
Problem Solving Workshop:
Mixed Problem Solving
1. a. 14 mi b. about 11.4 mi c. about 2.6 mi
2. a. A
B
C
b. 1125 ft 3. 2 4. EDC,
DCF, CFE, FED; The intersection of planes ABC
@##$. 5. a. 82 mi b. about 1.5 h
and BGF is BC
c. Yes; The total time of the trip is
1.5 1 3(1.75) 5 6.75 hours which is less than
8 hours.
Quiz 1
1.
M
Lesson 1.2
Practice A
1. 3.0 cm; Check drawings. 2. 1.5 cm; Check
drawings. 3. 2.4 cm; Check drawings. 4. 16
5. 36 6. 21 7. 19 8. 11
9.
10.
y
2. 9 3. 6 4. 12 5. 12 6. 15 7. 21
8. midpoint: (1, 5); ST 5 10
y
G
A
E
1
1
C
x
B
D
1
Lesson 1.4
F
x
1
H
congruent
not congruent
11. 5 12. 4 13. 6 14. 9 15. 15 16. 10
17. 9; Check drawings 18. 9; Check drawings
19. 37; Check drawings 20. 28; Check drawings
21. 6 22. 14
23. 14 24. 3x 1 x 5 20; x 5 5; AB 5 15; BC 5 5
25. 2x 2 5 1 6x 5 27; x 5 4; AB 5 3; BC 5 24
Practice A
1. ∠ DEF, ∠ FED, and ∠ E; vertex: E;
sides: ###$
ED and ###$
EF 2. ∠ JKL, ∠ LKJ, and ∠ K;
vertex: K; sides: ###$
KJ and ###$
KL
3. ∠ QVS, ∠ SVQ, and ∠ V; vertex: V;
sides: ###$
VQ and ###$
VS 4. obtuse 5. acute
6. right 7. 308; acute 8. 508; acute
9. ∠ JKL; obtuse 10. ∠ KLJ; acute
3
3
1
26. 3 } in.; } in. 27. a. 150 mi b. 2 } h
8
4
2
Geometry
IDEA! Works
A1