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 x^2 + 4x + 4 = 0, 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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If sin(θ) = 3/5 and θ is an acute angle, what is tan(θ)?

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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 sum triples in 20 years at simple interest. What is the rate of interest per annum?

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A triangle has angles 60°, 60°, and 60°. What type of triangle is it?

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What is the value of log₃(27)?

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

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The simple interest on Rs. 4000 at 5% per annum for 2 years is:

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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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