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

If a+b = 10 and ab = 21, what is the value of a^3 + b^3?

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If the perimeter of a square is 40 cm, what is the area of the square?

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If the length of a rectangle is doubled and the width is halved, what is the change in area?

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What is the area of an equilateral triangle with side length 10 cm?

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

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

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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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If x - y = 5 and x + y = 15, what is the value of x?

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

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If two complementary angles differ by 30°, what are the angles?

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