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 7th term of the arithmetic progression 3, 6, 9, 12,...?

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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 + y = 10 and xy = 21, what is the value of x³ + y³?

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If a cylinder has a radius of 7 cm and height of 10 cm, what is its volume?

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

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

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What is the sum of all even numbers between 1 and 100?

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A man spends 75% of his income and saves Rs. 600. What is his total income?

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The ratio of two numbers is 3:5, and their sum is 64. What are the numbers?

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