AnswersCR CCSS Math 2 S2 M2960OXRight Triangle Similarity

Directed Line Segments and Modeling Answers

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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
2
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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
3

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
4

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
5

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
6

The midpoint of a line segment partitions the line segment into a ratio of

A
1:1.
B
1:2.
C
2:1.
D
2:3.
7

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
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 (7, negative 2) and point B is at (negative 8, negative 9).

Question illustration
A
(–2.2, –6.3)
B
(–2.4, –6.4)
C
(2.7, –0.7)
D
(1.2, –4.7)
10

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)

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Directed Line Segments and Modeling Answers — CR…