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 right triangle has legs of 9 cm and 12 cm, what is the length of the hypotenuse?

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What is the area of a sector of a circle with radius 14 cm and central angle 90°?

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If x + 1/x = 5, what is the value of x^2 + 1/x^2?

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If log(100) = 2 and log(10) = 1, what is log(1000)?

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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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A cone has a base radius of 7 cm and height of 24 cm. What is its volume?

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What is the sum of all even numbers between 1 and 100?

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If a cone has a radius of 5 cm and a height of 12 cm, what is its slant height?

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What is the square root of 0.25?

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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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