MCRBG-0103-PA.qxd
4-27-2001
9:56 AM
Page 40
LESSON
1.3
NAME
DATE
Practice C
For use with pages 17–25
Draw a sketch of the three collinear points. Then write the
Segment Addition Postulate for the points.
1. D is between T and Q.
2. M is between Q and N.
3. L is between T and W.
4. A is between X and Y.
In Exercises 5–8, use the following information.
S is between T and V. R is between S and T. T is between R and Q. QV " 23,
QT " 8, and TR " RS " SV. Make a sketch and answer the following.
5. Find RS.
6. Find QS.
7. Find TS.
8. Find TV.
Suppose J is between H and K. Use the Segment Addition
Postulate to solve for x. Then find the length of each segment.
9. HJ " 3!x # 2"
1
10. HJ " 8x ! 3
11. HJ " 3x # 4
JK " 3x ! 4
JK " 12x ! 5
JK " 2x # 23
KH " 44
KH " 112
KH " 223x # 1
Find the distance between each pair of points.
12. D!!1, 3", E!!2, 5", F!0, !7"
13. G!!5, 0", H!6, !2", I!3, 6"
y
y
E(!2, 5)
D(!1, 3)
14. A!5, 3", B!7, 0", C!2, !4"
y
I(3, 6)
A(5, 3)
2
2
2
x
G(!5, 0)
2
2
x
B(7, 0)
x
2
H(6, !2)
C(2, !4)
Lesson 1.3
F(0, !7)
Use the Distance Formula to decide whether AB # BC.
15. A!0, !1"
16. A!!3, 1"
B!!2, !4"
B!1.5, !1.5"
B!!1, !1"
C!!4, !7"
C!6, !3.5"
C!!6, !4"
18. Marathon
The map at the right is being used to plan a 26.3 mile
marathon. Coordinates are given in miles. The locations of the
participating towns on the map are: Angel City !0, 0", Buster !4, 3",
Clearfield !9, !2", and Curtis !!1, !4".
Which of the following planned routes is nearest to the 26.3 mile
requirement?
(a)
(b)
(c)
(d)
40
17. A!4, 2"
Curtis to Clearfield to Angel City to Curtis
Curtis to Clearfield to Buster to Angel City to Curtis
Curtis to Buster to Clearfield to Curtis
Curtis to Buster to Angel City to Clearfield to Curtis
Geometry
Chapter 1 Resource Book
6
y
4
Buster
2
Angel City
2
4
6
8
x
Clearfield
Curtis
Copyright © McDougal Littell Inc.
All rights reserved.
MCRBG-0104-PA.qxd
5-2-2001
4:14 PM
Page 55
LESSON
1.4
NAME
DATE
Practice C
For use with pages 26–32
Use a protractor to measure each angle to the nearest degree.
Write two names for each angle.
1.
2.
J
Q
M
3.
A
C
U
T
L
K
Use the Angle Addition Postulate to find the measure of the
unknown angle.
4. m!FDC !
?
5. m!CDE !
?
6. m!XYZ !
E
C
21#
23#
F
F
82#
D
D
Y
X
A
?
25#
32#
W
48#
Z
C
In a coordinate plane, plot the points and sketch !ABC. Classify the
angle. Write the coordinates of a point that lies in the interior of the
angle and the coordinates of a point that lies in the exterior of the
angle.
7. A!"5, "4"
B!"3, 0"
C!1, "4"
8. A!"5, 0"
9. A!0, 1"
B!"1, "4"
C!4, 2"
B!"2, "4"
C!"7, "2"
In Exercises 10–13, use the following information.
Q is in the interior of !ROS. S is in the interior of !QOP. P is in the interior of
!SOT. m!ROT ! 127#, m!SOT ! 71#, and m!ROQ ! m!QOS ! m!POT.
Make a sketch and answer the following.
10. Find m!QOP
11. Find m!QOT
12. Find m!ROQ
13. Find m!SOP
m!QOR ! !2x " 2"#
m!QOR ! !5x " 2"#
!13x $ 13 "#
m!QOR ! !2x $ 43 "#
m!POR ! 26#
m!POR ! 61#
m!POR ! !5x " 1"#
14. m!POQ ! !x $ 4"#
Copyright © McDougal Littell Inc.
All rights reserved.
15. m!POQ ! !3x $ 7"#
16. m!POQ !
Geometry
Chapter 1 Resource Book
55
Lesson 1.4
Let Q be in the interior of !POR. Use the Angle Addition Postulate
to solve for x. Find the measure of each angle.
MCRBG-0105-PA.qxd
4-27-2001
10:08 AM
Page 71
LESSON
1.5
NAME
DATE
Lesson 1.5
Practice C
For use with pages 34–42
Use a ruler to measure and redraw the line segment on a piece of
paper. Then use construction tools to find the segment bisector.
1.
2.
A
B
T
W
Find the coordinates of the midpoint of a segment with the given
endpoints.
3. A!!7, 2"
4. G!3.2, 7.8"
B!3, 0"
5. K!!3.5, 2.7"
H!!2, 5"
L!7.3, !6.1"
Find the coordinates of the other endpoint of the segment with the
given endpoint and midpoint M.
6. T!4, 1"
7. A!!4.4, 3"
M!3, 0"
8. P!7.8, 3.5"
M!!1.6, !1"
M!2, !1.2"
Use a protractor to measure and redraw the angle on a piece of
paper. Then use construction tools to find the angle bisector.
9. R
10.
T
11.
J
A
V
L
O
A
M
→
PT is the angle bisector of !RPS. Find the two angle measures
not given in the diagram.
12.
13.
R
R
T
48"
R
S
14.
P
T
37"
75"
S
T
S
P
P
→
BT bisects !ABC. Find the value of x.
15.
A
16.
T
A
(5x ! 17)"
(9x ! 14)"
C
(3x # 14)"
B
Copyright © McDougal Littell Inc.
All rights reserved.
17.
B
C
(3x # 36)"
A
( x # 24)"
1
2
T
(3x ! 46)"
C
T
B
Geometry
Chapter 1 Resource Book
71