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 sin(A) = 3/5 and cos(B) = 5/13, where A and B are acute angles, what is sin(A+B)?

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If a cone has a base radius of 3 cm and height of 4 cm, what is its slant height?

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If the sum of three consecutive integers is 96, what are the integers?

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What is the sum of all odd numbers from 1 to 99?

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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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What is the sum of the interior angles of a hexagon?

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What is the 7th term of the arithmetic progression 3, 6, 9, 12,...?

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If sin(x) = 3/5 and x is in the first quadrant, what is cos(x)?

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

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What is the slope of a line passing through the points (2, 3) and (4, 7)?

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