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

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

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The sides of a triangle are 7, 24, and 25. Is this a right triangle?

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

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If a:b = 2:3 and b:c = 4:5, what is a:c?

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

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If a cone has a base radius of 3 cm and height of 4 cm, what is its slant height?

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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 sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?

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

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