A parallelogram has two lines of symmetry?
And No parallelogram is mentioned in the question.
Answers
A parallelogram has no lines of symmetry.
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
Answer:
Lines of Symmetry in a Parallelogram
A parallelogram is a type of quadrilateral where the opposite sides are parallel and equal. The imaginary line so formed along which you can fold a figure to obtain the symmetrical halves is referred to as the line of symmetry. Thus, the lines of symmetry of a parallelogram refer to the lines cutting the parallelogram into two identical parts. Also, the lines of symmetry in a parallelogram vary as per the type of parallelogram.
What Are Lines of Symmetry in a Parallelogram?
The lines of symmetry in a parallelogram are those lines that divide a parallelogram into two halves such that each half is the mirror image of the other. We know that there are different parallelograms categorized as per their shapes, the line segments, and corners they are made up of. Thus, these have different lines of symmetry and different numbers of symmetry lines. We can find whether a shape is symmetrical by folding it and checking for the Line of Symmetry. If the folded part sits perfectly on top, with all edges and corners matching, then the folded line represents a Line of Symmetry and that shape is symmetrical either along its length, breadth, or diagonals. Let's check for the lines of symmetry in a general parallelogram:
Different Parallelograms
Different parallelograms are varied in their shape and so do their lines of symmetry.
Square
Rectangle
Rhombus
Parallelogram
Number of symmetry lines
Symmetry lines
Square4 Both its diagonals and the lines joining the midpoints of its opposite sides, that is the bisectors.
Rectangle2The lines joining the midpoint of the opposite and parallel lines (i.e. the bisector) of the rectangle.
Rhombus2Both its diagonals dividing it into two identical halves.
Step-by-step explanation:
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