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 LCM of 15 and 20?

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

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

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What is the sum of the first 20 odd numbers?

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A triangle has angles 60°, 60°, and 60°. What type of triangle is it?

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If a:b = 7:9 and b:c = 5:6, what is a:c?

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If 2x - 3 = 7, what is the value of x?

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The angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?

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A train 150 m long passes a pole in 15 seconds. What is its speed?

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