Topic Details (Notes format)

How to Identify Parallelograms, Rectangles, Rhombuses, and Squares

Subject: Mathematics

Book: Maths Mastery

All these shapes are quadrilaterals but differ by side lengths and angle properties. A parallelogram has two pairs of parallel sides, a rectangle has parallel sides with all angles 90°, a rhombus has four equal sides with opposite sides parallel, and a square is both a rectangle and a rhombus (four equal sides and four right angles). Recognizing these distinctions helps solve geometry proofs, measure floor layouts, or select correct formulas for perimeter and area. Mastery of quadrilateral families ensures swift progress in advanced geometry or architectural tasks.

Practice Questions

A sum of money triples itself in 12 years at simple interest. What is the rate of interest per annum?

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

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What is the sum of all angles in a hexagon?

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A man spends 75% of his income and saves Rs. 600. What is his total income?

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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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What is the HCF of 48 and 180?

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What is the sum of the first 20 odd 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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The base of a triangle is 10 cm and its height is 6 cm. What is its area?

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What is the greatest common divisor (GCD) of 36 and 48?

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