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

How many ways can 4 people sit in a row?

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If the angles of a triangle are in the ratio 2:3:4, what is the measure of the largest angle?

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If 2a + b = 10 and a - b = 4, what is the value of a?

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If sin(A) = 3/5 and cos(B) = 5/13, where A and B are acute angles, what is sin(A+B)?

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If a = 4 and b = 5, what is the value of (a+b)^2?

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If a+b = 10 and ab = 21, what is the value of (a-b)^2?

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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 x = 3 and y = 4, what is the value of x^2 + y^2?

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

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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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