Midpoint of a Line Segment (Leaving Cert Mathematics): Quizzes

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Midpoint of a Line Segment
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What is the midpoint of a line segment?

The point halfway between two endpoints

What does a midpoint create on either side of it?

Two segments of identical length

What is the midpoint formula for points A(x1,y1)A(x_1, y_1) and B(x2,y2)B(x_2, y_2)?

(x1+x22,y1+y22)\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)

The x-coordinate of the midpoint is the average of what?

The two x-coordinates

The y-coordinate of the midpoint is the average of what?

The two y-coordinates

What is the midpoint of A(−1,3)A(-1, 3) and B(5,7)B(5, 7)?

(2,5)(2, 5)

What is the midpoint of C(0,−2)C(0, -2) and D(6,4)D(6, 4)?

(3,1)(3, 1)

What is the midpoint of P(−3,−1)P(-3, -1) and Q(1,−5)Q(1, -5)?

(−1,−3)(-1, -3)

What is the first step to find the midpoint systematically?

Identify the coordinates of both endpoints

What should you remember when adding a negative number?

Adding a negative is the same as subtracting

Explore Leaving Cert Mathematics Revision Notes by Topics

The Line

The Basics

Parallel/Perpendicular Lines

Area of a Triangle

Line Segment Division/Graphing Lines

Perpendicular Distance

Angle between Lines

Explore Leaving Cert Mathematics Model Answers by Topics

The Line

The Basics

Parallel/Perpendicular Lines

Area of a Triangle

Line Segment Division/Graphing Lines

Perpendicular Distance

Angle between Lines

Explore Leaving Cert Mathematics Flashcards by Topics

The Line

The Basics

Parallel/Perpendicular Lines

Area of a Triangle

Line Segment Division/Graphing Lines

Perpendicular Distance

Angle between Lines

Explore Leaving Cert Mathematics Exam Questions by Topics

The Line

The Basics

Parallel/Perpendicular Lines

Area of a Triangle

Line Segment Division/Graphing Lines

Perpendicular Distance

Angle between Lines

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