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 the sum of three consecutive integers is 96, what are the integers?

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If sin(x) = 3/5 and x is in the first quadrant, what is cos(x)?

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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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What is the value of log₃(27)?

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What is the area of an equilateral triangle with side length 10 cm?

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What is the LCM of 15 and 20?

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What is the value of x if 3x + 7 = 16?

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What is the value of x if log(x) + log(4) = log(32)?

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