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

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

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The ratio of two numbers is 3:5, and their sum is 64. What are the numbers?

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If a:b = 5:7 and b:c = 6:11, what is a:c?

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What is the cube of 4?

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If a = 5 and b = 12, what is the length of the hypotenuse of a right triangle?

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What is the HCF of 48 and 180?

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If a:b = 3:4 and b:c = 5:6, what is a:c?

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What is the square root of 121?

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What is the value of log₃(27)?

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

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