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

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

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A square is inscribed in a circle with a radius of 5 cm. What is the area of the square?

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

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

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If x² - 9x + 18 = 0, what are the roots of the equation?

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If the probability of an event is 1/4, what is the probability of its complement?

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If the sum of the angles of a polygon is 1080°, how many sides does the polygon have?

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If the sides of a triangle are 6 cm, 8 cm, and 10 cm, what is the area of the triangle?

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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 perimeter of a square is 36 cm, what is the length of its diagonal?

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