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Partitioning a Line Segment

Partitioning a Line Segment

Assessment

Interactive Video

•

Mathematics

•

7th - 10th Grade

•

Practice Problem

•

Medium

•
CCSS
HSG.GPE.B.6, 8.G.A.5, 5.G.A.1

+2

Standards-aligned

Created by

Lucas Foster

Used 5+ times

FREE Resource

Standards-aligned

CCSS.HSG.GPE.B.6
,
CCSS.8.G.A.5
,
CCSS.5.G.A.1
CCSS.6.NS.C.6B
,
CCSS.7.EE.B.4A
,
The video tutorial explains how to find the coordinates of a point R on a directed line segment PQ that partitions the segment in a 1:2 ratio. It begins by identifying the given points P and Q and the ratio, then sets up the formula using these values. The tutorial walks through the calculation of the x and y coordinates separately, applying the formula and order of operations. Finally, it concludes with the solution, providing the coordinates of point R as (1, 2).

Read more

9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the coordinates of point P?

(7, -2)

(-2, 4)

(4, -2)

(-2, 7)

Tags

CCSS.HSG.GPE.B.6

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the ratio given for partitioning the line segment PQ?

3:1

1:2

1:3

2:1

Tags

CCSS.6.NS.C.6B

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the coordinates of point Q?

(-2, 7)

(7, -2)

(-2, 4)

(4, -2)

Tags

CCSS.HSG.GPE.B.6

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula used to find the x-coordinate of point R?

(a+b)/a * (y2 - y1) + y1

a/(a+b) * (x2 - x1) + x1

a/(a+b) * (y2 - y1) + y1

(a+b)/a * (x2 - x1) + x1

Tags

CCSS.8.G.A.5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of x2 in the given problem?

4

-7

-2

7

Tags

CCSS.7.EE.B.4A

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the x-coordinate of point R after solving the equation?

1

2

3

4

Tags

CCSS.HSG.GPE.B.6

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula used to find the y-coordinate of point R?

a/(a+b) * (y2 - y1) + y1

(a+b)/a * (x2 - x1) + x1

a/(a+b) * (x2 - x1) + x1

(a+b)/a * (y2 - y1) + y1

Tags

CCSS.8.G.A.5

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