3.5 Partitioning Directed Line Segement

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is a directed line segment?
Back
A directed line segment is a line segment that has a specific direction from one endpoint to another, typically denoted as AB, where A is the starting point and B is the endpoint.
2.
FLASHCARD QUESTION
Front
How do you partition a directed line segment in a given ratio?
Back
To partition a directed line segment in a ratio of m:n, you divide the segment into m+n equal parts and take m parts from the starting point to find the partition point.
Tags
CCSS.HSG.GPE.B.6
3.
FLASHCARD QUESTION
Front
If a directed line segment AB is partitioned in the ratio 1:2, what does this mean?
Back
It means that the distance from A to the partition point P is one part, and the distance from P to B is two parts, making the total distance divided into three equal segments.
Tags
CCSS.HSG.GPE.B.6
4.
FLASHCARD QUESTION
Front
Is the statement 'Directed line segment MN partitioned into a ratio of 1:2 is the same as directed line segment NM partitioned into a ratio of 1:2' true or false?
Back
False. The direction matters in directed line segments.
5.
FLASHCARD QUESTION
Front
Given points W(3,7) and Y(13,-8), how do you find the coordinates of point X that partitions WY in the ratio 3:2?
Back
Use the section formula: X = ((mx2 + nx1)/(m+n), (my2 + ny1)/(m+n)), where m=3, n=2, (x1,y1) = W, (x2,y2) = Y.
Tags
CCSS.HSG.GPE.B.6
6.
FLASHCARD QUESTION
Front
What are the coordinates of point P that partitions line segment AB with A(-9,-7) and B(3,8) in the ratio 2:1?
Back
P = \left( \frac{2(3) + 1(-9)}{2+1}, \frac{2(8) + 1(-7)}{2+1} \right) = (-1, 3).
Tags
CCSS.HSG.GPE.B.6
7.
FLASHCARD QUESTION
Front
How do you find the coordinates of point P that partitions line segment AB with A(8, -4) and B(-6, -11) in the ratio 2:7?
Back
Use the section formula: P = \left( \frac{2(-6) + 7(8)}{2+7}, \frac{2(-11) + 7(-4)}{2+7} \right) = (4, -6).
Tags
CCSS.HSG.GPE.B.6
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