Dividing Segments Proportionately

Dividing Segments Proportionately

10th Grade

12 Qs

quiz-placeholder

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Dividing Segments Proportionately

Dividing Segments Proportionately

Assessment

Quiz

Mathematics

10th Grade

Practice Problem

Hard

CCSS
HSG.GPE.B.6

Standards-aligned

Created by

Barbara White

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12 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the point P that partitions the line segment AB given the ratio.
A (7, -2) B(4, 0) with the ratio 1:4

(32/5, -8/5)
(17/5, 2/5)
(32/5, 22/5)
(-13/5, 2/5)

Tags

CCSS.HSG.GPE.B.6

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the point P that partitions the line segment AB given the ratio.
A (-5, 8) B(9, 3) with the ratio 2:5

(12, 11/7)
(-1, 53/7)
(-1, 46/7)
(13, 11/7)

Tags

CCSS.HSG.GPE.B.6

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the point P that partitions the line segment AB given the ratio.
A (-6, -6) B(-2, 1) with the ratio 3:8

(-54/11, 32/11)
(-10/11, 32/11)
(-54/11, -1/11)
(-54/11, -45/11)

Tags

CCSS.HSG.GPE.B.6

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the point P that partitions the line segment AB given the ratio.
A (3, 5) B(4, 3) with the ratio 3:1

(15/4, 5/2)
(15/4, 7/2)
(19/4, 3/2)
(23/4, 3/2)

Tags

CCSS.HSG.GPE.B.6

5.

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 directed line segment AB that partitions AB into a ratio 1:3. 

(1,5)
(3,7)
(4,4)
(5,8)

Tags

CCSS.HSG.GPE.B.6

6.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Given the points A(-2,4) and B(7,-2), find the coordinates of the point P on directed line segment AB that partitions AB in a the ratio 1:2. 

(3,1)
(4,3)
(1,2)
(0,1)

Tags

CCSS.HSG.GPE.B.6

7.

MULTIPLE CHOICE QUESTION

5 mins • 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.


In the above problem, what is the value of a/(a+b)?

1/3

1/4

3/1

3/4

Tags

CCSS.HSG.GPE.B.6

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