AnswersCR CCSS Math 2 S2 M2960OXDirected Line Segments and Modeling

Directed Line Segments and Modeling Answers

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What is the location of point F, which partitions the directed line segment from D to E into a 5:6 ratio?

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Sample Response: A ratio of 1:2 means that there are 3 parts in total. One part will be before the desired point, and 2 parts will be after the desired point. This is the same as finding the point that is 1/3 the length. Half the length of the segment would mean there would only be two pieces, each of equal size. What did you include in your response? Check all that apply.A ratio of 1:2 means 1 part to 2 parts, for 3 parts total.The ratio 1:2 means 3 equal parts.The fraction 1/2 means the segmen

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What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10? Round to the nearest tenth, if necessary.

Answers:
x =:-2.6
y =:5.2
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Fernando and Maria are at opposite sides of a park. They plan to meet later at a fountain that is located somewhere between them. Maria will arrive at the fountain first, before Fernando even leaves his starting location. The ratio of Maria's starting location to the fountain to Fernando's starting place is 5:3. What is the location of the fountain? Round to the nearest tenth, if necessary.

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Blank 1:112806
Blank 2:112807
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Analyze the student’s work. Is the answer correct? Explain.

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No, the student should have added 3 + 4 to get the total number of sections, and used the fraction instead of .
Option A
B
No, the student should have subtracted 2 from –6 to find the distance.
Option B
C
No, the student should have added 2 at the end to add to the starting point.
Option C
D
Yes, the student’s answer is correct.
Option D
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What are the coordinates of point P on the directed line segment from R to Q such that P is the length of the line segment from R to Q? Round to the nearest tenth, if necessary.

Question illustration
Answer:

-3.5

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Explain why partitioning a directed line segment into a ratio of 1:2 is not the same as finding half the length of the directed line segment.

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Answer

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In the coordinate plane, the directed line segment from K to N has endpoints at K(–6, –2) and N(8, 3). Point L partitions the directed line segment from K to N in a ratio of 1:2. Point M partitions the directed line segment from L to N in a ratio of 3:1. What are the coordinates of point M? Round to the nearest tenth, if necessary.

A
(–1.3, –0.3)
B
(2.5, 1)
C
(5.7, 2.2)
D
(7, 2.5)

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