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Partition Points and Ratios

Partition Points and Ratios

Assessment

Interactive Video

Mathematics

7th - 10th Grade

Practice Problem

Hard

CCSS
HSG.GPE.B.6, 6.NS.C.8, 7.G.A.1

Standards-aligned

Created by

Sophia Harris

FREE Resource

Standards-aligned

CCSS.HSG.GPE.B.6
,
CCSS.6.NS.C.8
,
CCSS.7.G.A.1
The video tutorial explains how to find the coordinates of a point on a directed line segment. It starts by introducing the problem and setting up the equation for the X coordinate. The tutorial then walks through the calculation of both the X and Y coordinates using a given ratio. Finally, it verifies the solution and concludes with the correct coordinates.

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6 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the term 'directed line segment' refer to in the context of this problem?

A line segment that is infinite

A line segment that is curved

A line segment with no specific direction

A line segment with a specified direction from one endpoint to another

Tags

CCSS.6.NS.C.8

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the coordinates of the starting point (x1, y1) in this problem?

(5, -6)

(-10, 4)

(-5, -6)

(10, -4)

Tags

CCSS.7.G.A.1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the ratio of partition represented in the problem?

2:3

3:2

1:4

4:1

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 the partition point?

x1 + (ratio * (x2 - x1))

x1 - (ratio * (x2 - x1))

x1 + (ratio / (x2 - x1))

x1 - (ratio / (x2 - x1))

Tags

CCSS.HSG.GPE.B.6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y-coordinate of the partition point calculated in the video?

4

-6

2

-9

Tags

CCSS.HSG.GPE.B.6

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the final coordinates of the partition point?

(-5, -6)

(9, -2)

(-10, 4)

(-9, 2)

Tags

CCSS.HSG.GPE.B.6

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