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 sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?

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A man invests Rs. 5000 at 5% per annum simple interest. What is the total amount after 3 years?

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

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If 2x = 16, what is the value of x?

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If x - y = 5 and x + y = 15, what is the value of x?

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What is the square root of 144?

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

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

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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 angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?

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