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A quadrilateral with at least one pair of parallel sides is called a ______.

Class 8MensurationMensuration
  • Arectangle
  • Brhombus
  • Ctrapezium
  • Dparallelogram

Step-by-Step Solution

A trapezium has at least one pair of parallel sides. A parallelogram is the special case in which both pairs are parallel, so every parallelogram is also a trapezium; the general name is trapezium.
Answer: C) trapezium

Key idea: Area of a trapezium

**Area of a trapezium = ½ × (sum of parallel sides) × height.**

The height is the **perpendicular distance** between the two parallel sides — NOT the slant length of the non-parallel side.

Example: parallel sides 8 cm and 5 cm, height 4 cm. Area = ½ × = ½ × .

Why ½? You can split a trapezium into a rectangle plus a triangle (or chop and rearrange into a rectangle of the average parallel side). The factor of ½ comes from averaging the two parallel sides.

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