Derive a condition to find the relation between number of sides, number of line symmetry and order of rotational symmetry in regular polygon
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Step-by-step explanation:
Parallelogram and Lines of Symmetry
Have you ever wondered how many lines of symmetry a parallelogram has? A Parallelogram in general has no lines of symmetry. However, a parallelogram does have a decisive (rotational) symmetry - the half-turn around the median point at which the two diagonals intersect. As shown in the image below, because triangles WXO and YZO are congruent (have the same size and shape), thus
WO= YO
XO = ZO
In all Parallelograms’ Angles that are not opposite of each other will supplement up to 180 degrees.
(image will be uploaded soon)
That being said, there are some specific kinds of parallelogram that have lines of symmetry. They are listed below.
Number of Symmetry Lines in Different Parallelogram
Parallelogram
Number of Symmetry Lines
Rhombus
2
Rectangle
2
Square
4
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