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

The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is its area?

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A rectangle has a length of 10 cm and a width of 5 cm. What is the diagonal of the rectangle?

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

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

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

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If the radius of a circle is doubled, what happens to its area?

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

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If the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?

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What is the square root of 144?

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