Topic Details (Notes format)

How to Find the Midpoint Between Two Points

Subject: Mathematics

Book: Maths Mastery

The midpoint formula identifies the center between (x₁, y₁) and (x₂, y₂): M = ((x₁ + x₂)/2, (y₁ + y₂)/2). For example, the midpoint between (1, 4) and (5, 8) is ((1+5)/2, (4+8)/2) = (3, 6). This concept is used in bisecting line segments for design layouts, dividing spaces equally, or calculating central average positions in real-world contexts—like finding a halfway point for meeting up. By combining midpoint knowledge with distance metrics, you gain robust tools for analyzing geometric relationships in academic geometry and beyond.

Practice Questions

The LCM of two numbers is 60, and their HCF is 5. If one of the numbers is 20, what is the other number?

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The probability of getting an even number when rolling a die is:

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The perimeter of a rectangle is 40 cm, and its length is 12 cm. What is its width?

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If a cone has a base radius of 3 cm and height of 4 cm, what is its slant height?

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What is the square root of 121?

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What is the sum of all even numbers between 1 and 50?

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If x² - 9x + 18 = 0, what are the roots of the equation?

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What is the area of an equilateral triangle with side length 10 cm?

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The sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?

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A cone has a base radius of 7 cm and height of 24 cm. What is its volume?

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