Lesson 9.2 Length of Line Segments
Plot each pair of points on the coordinate plane below. Connect the points
to form a line segment and find its length.
1. A (6, 2) and B (6, ⴚ3) 2. C (ⴚ4, 0) and D (3, 0)
3. E (ⴚ5, 3) and F (1, 3) 4. G (ⴚ2, 3) and H (ⴚ2, ⴚ3)
5. J (0, 2) and K (0, ⴚ3) 6. M (4, ⴚ1) and N (4, ⴚ4)
Find the coordinates.
7. Rectangle ABCD is plotted on a coordinate plane. The coordinates of point A
are (1, ⴚ1), and the coordinates of point D are (1, 2). Each unit on the
coordinate plane represents 1 centimeter, and the perimeter of rectangle ABCD
is 18 centimeters. Find the coordinates of points B and C given these conditions:
a) Points B and C are to the right of points A and D.
b) Points B and C are to the left of points A and D.
Name: Date:
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Extra Practice Course 1B 21
8. Square EFHG is plotted on a coordinate plane. The coordinates of point E are
(ⴚ2, 1) and the coordinates of point F are (2, 1). Find the coordinates of points
G and H given these conditions:
a) Points G and H are above points E and F.
b) Points G and H are below points E and F.
9. Triangle ABC is plotted on a coordinate plane. The coordinates of point A are
(ⴚ2, 2), the coordinates of point B are (6, 2), and the coordinates of point C
are (6, 5).
a) What type of triangle is triangle ABC?
b) Figure ABCD is a rectangle. Plot point D on the coordinate plane
and give its coordinates.
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22 Chapter 9 Lesson 9.2
In the diagram, figure PQRSTU represents a field. The side length of each grid
square is 5 feet. Use the diagram to answer questions 10 to 13.
Q
P
U
T
R
V
W
S
x
10
15
5
ⴚ10
ⴚ15
ⴚ20
ⴚ25
ⴚ30
ⴚ5
ⴚ10ⴚ15 ⴚ5ⴚ20ⴚ25 20 25 3015105
0
y
10. Give the coordinates of points P, Q, R, S, T, and U.
11. James and Rita build a picket fence around the field. They leave a 5-foot
opening for the gate. What is the total length of the fence?
12. The gate, VW
, lies on RS and is 10 feet from point S. Give the coordinates
of points V and W.
13. Find the area of the field.
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Extra Practice Course 1B 23
In the diagram, figure
ABC
represents a playground. The side length of each
grid square is 4 yards. Use the diagram to answer questions 14 to 17.
A
C
B
x
8
12
16
20
24
4
ⴚ8
ⴚ12
ⴚ16
ⴚ4
ⴚ8ⴚ12
ⴚ4
ⴚ16ⴚ20ⴚ24 16
20
241284
0
y
14. Give the coordinates of points A, B, and C.
15. There is a square sandbox DEFG in the playground. DE is 20 yards from
point A and 8 yards in length. EF
is also 8 yards in length and is parallel
to AC. Plot and label points D, E, F, and G on the coordinate plane.
16. If BC
is approximately 49 yards, what is the perimeter of the playground?
17. Tonya starts at point E and rides her scooter around the perimeter of the
playground toward point B. If she travels at 5 yards per second, about
how many seconds will it take her to get to point D?
Name: Date:
© Marshall Cavendish International (Singapore) Private Limited.
24 Chapter 9 Lesson 9.2
© Marshall Cavendish International (Singapore) Private Limited.
142 Answers
Quadrant I: point
S
Quadrant II: point
W
Quadrant III: point
U
Quadrant IV: point
Z
Point
T
lies on the
y-
axis between
Quadrant III and Quadrant IV.
Point
V
lies on the
x-
axis between Quadrant I
and Quadrant IV.
3. (ⴚ3, 9) 4. (7, 4)
5. (5, ⴚ6) 6. (ⴚ8, ⴚ2)
7. (3, ⴚ9) 8. (ⴚ7, ⴚ4)
9. (ⴚ5, 6) 10. (8, 2)
11.
y
-axis 12.
x
-axis
13.
D
A
B
x
2
3
4
5
1
ⴚ2ⴚ3 ⴚ1ⴚ4
4
521
0
C
y
3
The gure formed is a square.
14.
x
2
3
4
5
1
ⴚ2
ⴚ3
ⴚ1
ⴚ2ⴚ3 ⴚ1ⴚ
44567321
0
y
B
C
A
The gure formed is a triangle.
15.
x
2
3
4
5
6
1
ⴚ1
ⴚ2ⴚ3 ⴚ14567321
0
y
S
Q
P
R
The gure formed is a parallelogram.
16.
S
R
Q
x
2
3
1
ⴚ2
ⴚ3
ⴚ4
ⴚ1
ⴚ2ⴚ3 ⴚ1ⴚ4ⴚ
54321
0
P
y
The gure formed is a trapezoid.
17. a)
S
T
Q
x
2
3
4
1
ⴚ2
ⴚ3
ⴚ4
ⴚ1
ⴚ2ⴚ3 ⴚ1ⴚ4ⴚ
52
1
0
P
R
y
b)
Q
(ⴚ2, ⴚ3)
c)
T
(ⴚ4, 3)
18. a)
D
C
A
B
x
2
3
4
5
6
1
ⴚ2
ⴚ3
ⴚ4
ⴚ1
ⴚ2ⴚ3
ⴚ1
ⴚ4ⴚ5
ⴚ6ⴚ723 4 51
0
y
b) isosceles
c)
D
(ⴚ5, 4)
Lesson 9.2
1.
AB
ⴝ 5 units
2.
CD
ⴝ 7 units
3.
EF
ⴝ 6 units
4.
GH
ⴝ 6 units
5.
JK
ⴝ 5 units
© Marshall Cavendish International (Singapore) Private Limited.
Extra Practice Course 1B 143
6.
MN
ⴝ 3 units
x
2
3
4
5
1
ⴚ2
ⴚ3
ⴚ4
ⴚ1
ⴚ2ⴚ3 ⴚ1ⴚ4ⴚ5
ⴚ6ⴚ723 4 651
0
y
A
GEF
J
K
M
H
B
N
CD
7. a)
B
(7, ⴚ1),
C
(7, 2)
b)
B
(ⴚ5 ⴚ1),
C
(ⴚ5, 2)
x
2
3
1
ⴚ2
ⴚ3
ⴚ1
ⴚ2ⴚ3 ⴚ1ⴚ4ⴚ5ⴚ6ⴚ
74
567321
0
y
C
BAB
DC
8. a)
G
(ⴚ2, 5),
H
(2, 5)
b)
G
(ⴚ2, ⴚ3),
H
(2, ⴚ3)
x
2
3
4
5
1
ⴚ2
ⴚ3
ⴚ4
ⴚ1
ⴚ2ⴚ3 ⴚ12
31
0
y
GH
GH
EF
9. a) right scalene triangle
b)
D
(ⴚ2, 5)
x
2
3
4
5
6
1
ⴚ1
ⴚ2ⴚ3 ⴚ
1456321
0
y
DC
AB
10.
P
(ⴚ20, 10),
Q
(5, 10),
R
(5, ⴚ15),
S
(25, ⴚ15),
T
(25, ⴚ25),
U
(ⴚ20, ⴚ25)
11. 155 feet
12.
V
(10, ⴚ15),
W
(15, ⴚ15)
13. 1,075 square feet
14.
A
(ⴚ20, 20),
B
(20, 20),
C
(ⴚ20, ⴚ8)
15.
D
(0, 20),
E
(8, 20),
F
(8, 12),
G
(0, 12)
x
8
12
16
20
24
4
ⴚ8
ⴚ12
ⴚ16
ⴚ4
ⴚ12 ⴚ4ⴚ8ⴚ20ⴚ24 ⴚ16
8 12 16 20 244
0
y
ABED
FG
C
16. 40 ⴙ 49 ⴙ 28 ⴝ 117 yards
The perimeter of the playground is
approximately 117 yards.
17. 117 ⴚ 12 ⴝ 105
105 ⴜ 5 ⴝ 21 seconds
Lesson 9.3
1. 24; 48; 60
4532
6
12
18
24
30
36
42
48
Number of Figurines
Figurines Jenna Can Paint
Time (h)
54
60
1
0
y
x
a) linear/straight line graph
b) 30 gurines
c) 4.5 hours
d)
h
≥
4
e)
d
is dependent variable, and
h
is independent variable.
