26. ANSWER: 1-3 Locating Points and Midpoints
Use the number line to find the coordinate of the midpoint of each
segment.
Find the coordinates of the missing endpoint if B is the midpoint
of
28. A(1, 7), B(–3, 1)
ANSWER: C(–7, –5)
18. ANSWER: 2.5
Find the coordinates of the midpoint of a segment with the given
endpoints.
24. J(–11.2, –3.4), K(–5.6, –7.8)
ANSWER: (–8.4, –5.6)
32. ANSWER: Suppose M is the midpoint of
Find the missing measure.
34. FM = 5y + 13, MG = 5 – 3y, FG = ?
ANSWER: 16
36. FM = 8a + 1, FG = 42, a = ?
ANSWER: 2.5
ANALYZE RELATIONSHIPS Refer to the number line.
26. ANSWER: 38. Find the point X on
Find the coordinates of the missing endpoint if B is the midpoint
of
28. A(1, 7), B(–3, 1)
ANSWER: C(–7,
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that is
of the distance from C to F.
ANSWER: -2.2
41. Find the point X on ANSWER: 2.6
that is
of the distance from A to F.
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38. Find the point X on
that is
of the distance from C to F.
ANSWER: 1-3 Locating
Points and Midpoints
-2.2
41. Find the point X on that is
ANSWER: of the distance from A to F.
48. APPLY MATH Points A and B represent two cities. Where should the
state place a rest area so it is halfway between cities A and B?
ANSWER: 2.6
42. Find X on
that is
the distance from A to B.
ANSWER: (1, 3)
has coordinates (–3, 5). If the
50. GEOMETRY One endpoint of
coordinates of the midpoint of
are (2, –6), what is the length of
ANSWER: (–3.6, –2.2)
44. Find X on
?
ANSWER: 24.2
such that the ratio of JX to XK is 1:2.
54. JUSTIFY ARGUMENTS Is the point one third of the way from ( x1 ,
y 1 ) to ( x2 , y 2 ) sometimes, always, or never
the point
? Explain.
ANSWER:
Sample answer: sometimes; when the point (x 1, y 1) has coordinates (0,
ANSWER: 48. APPLY MATH Points A and B represent two cities. Where should the
state place a rest area so it is halfway between cities A and B?
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0).
56. Jamar plots two points, P and Q, on a coordinate plane. The midpoint of
the points is M (–3, 4). Which of the following could be the points that
Jamar plots?
A P(–5, 10) and Q(1, 2)
B P(–2, 6) and Q(–4, 2)
C P(–7, 1) and Q(4, 3)
D P(–1, 7) and Q(2, 3)
ANSWER:
B
60. Points A, B, C, and D are located on a number line, as shown.
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ANSWER:
Sample answer: sometimes; when the point (x 1, y 1) has coordinates (0,
1-3 Locating Points and Midpoints
0).
56. Jamar plots two points, P and Q, on a coordinate plane. The midpoint of
the points is M (–3, 4). Which of the following could be the points that
Jamar plots?
A P(–5, 10) and Q(1, 2)
B P(–2, 6) and Q(–4, 2)
C P(–7, 1) and Q(4, 3)
D P(–1, 7) and Q(2, 3)
ANSWER:
B
60. Points A, B, C, and D are located on a number line, as shown.
Which of the following is the distance from the midpoint of
midpoint of
?
F to the
G
H
J
ANSWER:
J
Supplemental Problem 1.3
1. M(-2, 4.5)
U(-8, 12)
M is the midpoint of B and P.
Use endpoint G and midpoint M to find the other endpoint U.
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