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

If sin(θ) = 0.6 and θ is acute, what is cos(θ)?

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A rectangle has an area of 48 cm² and a length of 8 cm. What is its width?

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

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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 x = 2 and y = 3, what is the value of (x^2 + y^2)?

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If a + b = 10 and ab = 21, what is the value of a^2 + b^2?

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If a:b = 2:3 and b:c = 4:5, what is a:c?

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If a number is divisible by 9, it is also divisible by which of the following?

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What is the sum of the first 50 positive integers?

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If x^2 + 4x + 4 = 0, what is the value of x?

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