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Lesson

Area and Collinearity

Points are collinear if they lie on the same straight line. Using the section formula or the slope concept, we can check whether three points are collinear by testing if the ratios or slopes match. Collinearity is an important idea in geometry because many problems require verifying if points lie on a single path.

40min lesson

Objectives3 goals Lesson7 blocks Review4 assets Practice32 items

Learning objectives

What to understand

3 goals

Start lesson

Understand area and collinearity in the Coordinate Geometry chapter.
Connect the idea with formulas, examples, and exam-style questions.
Use flashcards, notes, MCQs, and LAQs to check readiness.

Lesson

Step-by-step lesson

7 sections

Example

Find the midpoint of a line segment joining A(6, -3) and B(-4, 5)

Determine the coordinates of the midpoint of the line segment connecting points A(6, -3) and B(-4, 5). 1. Use M = ((x₁+x₂)/2, (y₁+y₂)/2). 2. M = ((6+-4)/2, (-3+5)/2) = (1.0, 1.0). Final answer: (1, 1) Exam tip: Double-check your arithmetic when calculating the midpoint. Common mistake: Mixing up the coordinates while substituting into the formula.

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7 lesson sections2 cards / 2 notes18 MCQs / 14 written questions

Lesson Notes Flashcards Revision MCQs Written answers Topic test

Notes

Note highlights

2 notes

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1
Collinearity of Points
2
Area of a Triangle Using Coordinates

Practice

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32 prompts

18 MCQs14 LAQsMixed test

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In this chapter

Coordinate Geometry

Topic 7 of 7

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Coordinate Geometry
Slope and Equation of a Line
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Area and Collinearity

What to understand

Step-by-step lesson

Find the midpoint of a line segment joining A(6, -3) and B(-4, 5)

Find the midpoint of a line segment joining points A(1,3) and B(5,-7)

Find the Midpoint of a Line Segment

Collinearity of Points

Area of a Triangle Using Coordinates

How to test collinearity of three points

The coordinate geometry formula for the area of a triangle

Find the midpoint of a line segment joining A(6, -3) and B(-4, 5)

Choose your next activity

Note highlights

Collinearity of Points

Area of a Triangle Using Coordinates

Check this topic

Coordinate Geometry

Mark this topic complete

Around this topic

Area and Collinearity

What to understand

Step-by-step lesson

Find the midpoint of a line segment joining A(6, -3) and B(-4, 5)

Find the midpoint of a line segment joining points A(1,3) and B(5,-7)

Find the Midpoint of a Line Segment

Collinearity of Points

Area of a Triangle Using Coordinates

How to test collinearity of three points

The coordinate geometry formula for the area of a triangle

Find the midpoint of a line segment joining A(6, -3) and B(-4, 5)

Choose your next activity

Note highlights

Collinearity of Points

Area of a Triangle Using Coordinates

Check this topic

Coordinate Geometry

Mark this topic complete

Around this topic