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

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

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What is the area of a circle with a diameter of 14 cm?

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

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What is the sum of the first 20 odd numbers?

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

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A square is inscribed in a circle with a radius of 5 cm. What is the area of the square?

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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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If a+b = 10 and ab = 21, what is the value of (a-b)^2?

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

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