Dividing a Line Segment
Authored by Barbara White
Mathematics
8th - 10th Grade
CCSS covered
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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Given the points A(-1,2) and B(7,14), find the coordinates of the Point P on the directed line segment AB that partitions AB in the ratio 1:3.
The coordinates of the point P are:
(1,5)
(0,4)
(3, 1)
(-1, 1)
Tags
CCSS.HSG.GPE.B.6
2.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Find the coordinates of the point P that divides directed line segment from A to B in the given ratio.
A(-3, -2), B(12, 3); 3 to 2
(-9, 0)
(3, 2)
(6, 1)
(-1, 0)
Tags
CCSS.HSG.GPE.B.6
3.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
(show work) Find the coordinates of P so that P partitions segment AB in the ratio 5:1 with A(2, 4) and B(8, 10).
(7,9)
(9,7)
(-3,9)
(5,1)
Tags
CCSS.HSG.GPE.B.6
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
(show work) Points C, D, E are collinear on segment CE, and CD:CE is 3 to 5. C(1,3) and E(8, 4). what are the coordinates of D?
(6.6 , 3.8)
(29, 7)
(-4.6, 2.2)
( 5.2, 3.6)
Tags
CCSS.HSG.GPE.B.6
5.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Given the points A(-2 4) and B(7, -2), find the coordinates of the point P on directed line segment AB in the ratio 1:2.
The coordinates for point P are:
(0, 1)
(0, -1)
(1,2)
(2,1)
Tags
CCSS.HSG.GPE.B.6
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Find the coordinates of the point P that divides directed line segment from A to B in the given ratio.
A(-1, 5), B(7, -3); 7 to 1
(7, 1)
(6, -2)
(6, 1)
(-6, 2)
Tags
CCSS.HSG.GPE.B.6
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Find the coordinates of the point P that divides directed line segment from A to B in the given ratio.
A(-1, 4), B(-9, 0); 1 to 3
(4, -1)
(-1, -2)
(-3, 3)
(3, -3)
Tags
CCSS.HSG.GPE.B.6
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