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

A number is increased by 20% and then decreased by 10%. What is the net change?

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The perimeter of a rectangle is 50 cm, and its length is 15 cm. What is its width?

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What is the sum of the first 50 positive integers?

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The sum of the squares of two consecutive integers is 145. What are the integers?

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A car travels 240 km in 4 hours. What is its average speed?

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What is the remainder when 5^100 is divided by 3?

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If x:y = 4:5 and y:z = 2:3, what is x:z?

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What is the slope of a line passing through the points (2, 3) and (4, 7)?

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If a cone has a radius of 5 cm and a height of 12 cm, what is its slant height?

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The sides of a triangle are 7, 24, and 25. Is this a right triangle?

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