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 length of the diagonal of a square with a side length of 7 cm?

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If the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?

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

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The LCM of 12 and 15 is:

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A cube has a side length of 4 cm. What is its volume?

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What is the sum of the first 10 positive even numbers?

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If sin(A) = 1/2 and A is acute, what is the value of A?

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What is the cube of 4?

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If sin(A) = 3/5 and cos(B) = 5/13, where A and B are acute angles, what is sin(A+B)?

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

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