Mathematics
Which of the following figures has only one line of symmetry?
(i) A rectangle
(ii) A parallelogram
(iii) An isosceles trapezium
(iv) A circle
Symmetry
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Answer
(i) A rectangle
Rectangle has two lines of symmetry.
These are the lines that join the midpoints of the opposite sides.
(ii) A parallelogram
A parallelogram has no lines of symmetry.
Even though it looks balanced, if we fold it along any line, the vertices will not align.
(iii) An isosceles trapezium
An isosceles trapezium has exactly one line of symmetry.
This line passes through the midpoints of the two parallel sides. This vertical fold ensures the two non-parallel equal sides sit perfectly on top of each other.
(iv) A circle
A circle is perfectly symmetrical.
Any line passing through the centre acts as a line of symmetry. Since we can draw an infinite number of diameters, there are infinitely many lines of symmetry.
∴ An isosceles trapezium has only one line of symmetry.
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