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

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

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The LCM of 12 and 15 is:

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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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The sum of the squares of two consecutive integers is 145. What are the integers?

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What is the LCM of 15 and 20?

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A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?

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If x² - 9x + 18 = 0, what are the roots of the equation?

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

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The LCM of two numbers is 60, and their HCF is 5. If one of the numbers is 20, what is the other number?

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The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is its area?

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