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Earn +20 ptsQ: Which quadrilateral has one line of symmetry but not all the time?
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Which quadrilateral sometimes has a line of symmetry but not all the time?
A trapezoid is a quadrilateral that sometimes has a line of symmetry but not always. A trapezoid can have a line of symmetry if it is an isosceles trapezoid, where the non-parallel sides are congruent. However, in a general trapezoid where the non-parallel sides are not equal in length, there is no line of symmetry. This distinction is important in understanding the properties of different types of quadrilaterals.
If it has exactly two lines of symmetry it must be a quadrilateral?
Not at all. There are an infinite number of figures that have two lines of symmetry. For a start, an ellipse.
Do all polygons have rotational and line symmetry?
Yes.
Do all regular polygons have line symmetry?
yes
What trapezium doesn't have any lines of symmetry?
All trapeziums have no lines of symmetry unless it is an isosceles trapezium which has one line of symmetry
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