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.
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A trapezium.
The Pentagon has 5 lines of symmetry quite simply, actually. See, say you made one line straight through the pentagon at every vertex, right? Well, once you do that, you have 3 lines of symmetry in total, right? Now, say you make another 2 lines of symmetry, this time right through the center of each side. In total, this would make 5.
A clock typically has 12 lines of symmetry, as it can be divided into 12 equal parts when considering each hour mark as a point of symmetry. Each hour mark can act as a line of symmetry when the clock is divided vertically or horizontally. Additionally, the clock's hands can also create lines of symmetry depending on their positions.
A seal has bilateral symmetry. This means that if you cut the seal into right and left halves (called a sagittal cut), the two halves will be basically identical to each other. This is the same time of symmetry seen in humans.
Diagonally opposite pairs of angles will always be equal, but the only time all angles in a quadrilateral parallelogram are equal is when that shape is a rectangle.