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How Do You Identify a Trapezium?

Published in Geometry 2 mins read

A trapezium, also known as a trapezoid, is a quadrilateral with at least one pair of parallel sides.

Here's how to identify a trapezium:

Key Characteristics:

  • Two Parallel Sides: The most crucial feature is the presence of two parallel sides. These sides will never intersect, no matter how far you extend them.
  • Non-Parallel Sides: The other two sides of the trapezium do not have to be parallel. They can be of different lengths and angles.
  • Four Sides: A trapezium is a quadrilateral, meaning it always has four sides.

Examples:

  • Isosceles Trapezium: This type of trapezium has two equal non-parallel sides.
  • Right Trapezium: This type has at least one right angle where the parallel sides meet a non-parallel side.

Identifying a Trapezium:

  1. Check for Parallel Sides: Look for two sides that are always the same distance apart, no matter where you measure them.
  2. Count the Sides: Make sure there are four sides in total.

Remember: A trapezium can be any shape, as long as it has two parallel sides and four sides in total.

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