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Dividing a Line Segment

Authored by Barbara White

Mathematics

8th - 10th Grade

CCSS covered

Dividing a Line Segment
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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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