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 a+b = 10 and ab = 21, what is the value of a^3 + b^3?

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

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

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The base of a triangle is 10 cm and its height is 6 cm. What is its area?

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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 doubles itself in 5 years at simple interest. What is the rate of interest?

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If a person can type 45 words per minute, how many words can they type in 2 hours?

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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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If x + y = 10 and xy = 21, what is the value of x³ + y³?

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A rectangle has an area of 48 cm² and a length of 8 cm. What is its width?

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