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

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If 2a + b = 10 and a - b = 4, what is the value of a?

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If the cost price of an item is Rs. 400 and the selling price is Rs. 500, what is the profit percentage?

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If x = 3 and y = 4, what is the value of x^2 + y^2?

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

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

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If a rectangle has a length of 10 cm and a width of 6 cm, what is its perimeter?

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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 remainder when 5^100 is divided by 3?

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If a+b = 10 and ab = 21, what is the value of a^3 + b^3?

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