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 remainder when 5^100 is divided by 3?

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The sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?

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A rectangle has an area of 48 cm² and a length of 8 cm. What is its width?

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The sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?

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If a person can type 45 words per minute, how many words can they type in 2 hours?

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

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The sides of a triangle are 7, 24, and 25. Is this a right triangle?

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

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

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

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