Topic Details (Notes format)

How to Use Congruent Triangles

Subject: Mathematics

Book: Maths Mastery

Triangles are congruent if they have the same size and shape. Common criteria include Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), Angle-Angle-Side (AAS), and Right Angle-Hypotenuse-Side (RHS). By identifying these conditions, you can conclude that two triangles match exactly in dimensions and angles. Congruence is central to geometric proofs, map overlays, and structural designs requiring precise fits. A strong grasp of these criteria ensures you can prove geometric statements or design congruent sections for architectural or engineering projects accurately.

Practice Questions

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

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If a square has a perimeter of 64 cm, what is its area?

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If a:b = 5:7 and b:c = 6:11, what is a:c?

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A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?

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What is the square root of 144?

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What is the sum of the first 50 positive integers?

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What is the HCF of 48 and 180?

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

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What is the value of log₃(27)?

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What is the probability of drawing a king from a standard deck of 52 playing cards?

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