AnswersCR CCSS Math 2 S2 M2960OXDirected Line Segments and Modeling

Directed Line Segments and Modeling Answers

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On a coordinate plane, a line is drawn from point A to point B. Point A is at (2, negative 3) and point B is at (negative 4, 9).

Question illustration
A
(0, 1)
B
(–1, 3)
C
(–2, 5)
D
(1, 0)
2
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On a coordinate plane, a line is drawn from point J to point K. Point J is at (1, negative 10) and point K is at point (7, 2).

Question illustration
A
–8
B
–5
C
0
D
6
3

Where will her cut be located? Round to the nearest tenth.

Question illustration
A
25.2 in.
B
29.4 in.
C
35.1 in.
D
40.7 in.
4

At what meter mark will Ario be when Miguel starts the race? Round to the nearest tenth.

Question illustration
A
4.4 meters
B
7.4 meters
C
17.6 meters
D
20.6 meters
5

On a coordinate plane, a line is drawn from point J to point K. Point J is at (negative 6, negative 2) and point K is at point (8, negative 9).

Question illustration
A
–4
B
–2
C
2
D
4
6

What is the location of point G, which partitions the directed line segment from F to D into an 8:5 ratio?

Question illustration
A
1
B
2
C
3
D
4
7

If point P is of the distance from M to N, what ratio does the point P partition the directed line segment from M to N into?

Question illustration
A
9:2
B
9:9
C
9:11
D
9:13
8

On a coordinate plane, a line is drawn from point J to point K. Point J is at (negative 3, 1) and point K is at (negative 8, 11).

Question illustration
A
–6
B
–5
C
5
D
7
9

On a coordinate plane, a line is drawn from point A to point B. Point A is at (negative 8, negative 13) and point B is at (4, 11).

Question illustration
A
(1, 5)
B
(0, 3)
C
(–4, –5)
D
(–5, –7)
10

Why is partitioning a directed line segment into a ratio of 1:3 not the same as finding the length of the directed line segment?

Question illustration
A
The ratio given is part to whole, but fractions compare part to part.
B
The ratio given is part to part. The total number of parts in the whole is 3 – 1 = 2.
C
The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4.
D
The ratio given is part to whole, but the associated fraction is .
Option D

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