AnswersCR CCSS Math 2 S2 M2960OXDirected Line Segments and Modeling

Directed Line Segments and Modeling Answers

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Point P partitions the directed line segment from A to B into the ratio 3:4. Will P be closer to A or B? Why?

Question illustration
A
P will be closer to A because it will be the distance from A to B.
Option A
B
P will be closer to A because it will be the distance from A to B.
Option B
C
P will be closer to B because it will be the distance from B to A.
Option C
D
P will be closer to B because it will be the distance from B to A.
Option D
15

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
16

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
17

On a number line, the directed line segment from Q to S has endpoints Q at –8 and S at 12. Point R partitions the directed line segment from Q to S in a 4:1 ratio.Which expression correctly uses the formula to find the location of point R?

Question illustration
A
(StartFraction 1 Over 1 + 4 EndFraction) (12 minus (negative 8)) + (negative 8)
Option A
B
(StartFraction 4 Over 4 + 1 EndFraction) (12 minus (negative 8)) + (negative 8)
Option B
C
(StartFraction 4 Over 4 + 1 EndFraction) (negative 8 minus 12) + 12
Option C
D
(StartFraction 4 Over 1 + 4 EndFraction) (negative 8 minus 12) + 12
Option D
18

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)
19

On a coordinate plane, a line is drawn from point K to point J. Point K is at (160, 120) and point J is at (negative 40, 80).

Question illustration
A
(40, 96)
B
(85, 105)
C
(80, 104)
D
(96, 72)
20

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

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