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

The LCM of 12 and 15 is:

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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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What is the sum of the first 20 odd numbers?

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A sphere has a radius of 7 cm. What is its volume?

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A number is increased by 20% and then decreased by 10%. What is the net change?

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A car covers a distance of 150 km in 2.5 hours. What is its average speed?

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

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If a = 5 and b = 12, what is the length of the hypotenuse of a right triangle?

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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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If 8x = 512, what is the value of x?

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