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 LCM of 15 and 20?

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The probability of rolling a sum of 7 with two dice is:

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If the product of two numbers is 120 and their sum is 26, what are the numbers?

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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 the perimeter of a square is 36 cm, what is the length of its diagonal?

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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 a number is divisible by 9, it is also divisible by which of the following?

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If x^2 - 6x + 9 = 0, what is the value of x?

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