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How many lines of symmetry does a trapezium have?

Published in Geometry 1 min read

A trapezium typically has zero lines of symmetry.

A line of symmetry is a line that divides a shape into two identical halves that are mirror images of each other.

A trapezium is a quadrilateral with only one pair of parallel sides.

Unless the trapezium is an isosceles trapezium (where the non-parallel sides are equal), it will not have any lines of symmetry.

An isosceles trapezium has one line of symmetry which passes through the midpoints of both the parallel sides and the non-parallel sides.

Examples:

  • A regular trapezoid has no lines of symmetry.
  • An isosceles trapezoid has one line of symmetry.

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