A general parallelogram has no lines of symmetry. It means that a rhombus has reflection symmetry over either of its diagonals. Rhombus is a special type of parallelogram and it has two lines of symmetry - its diagonals. See below. Thus, it has no lines of symmetry. ½ turn symmetry . Here are the two lines of symmetry in a rhombus: How are Rhombus Lines of Symmetry Different from Square Lines of Symmetry? Rectangle, which is not a square, has two lines of symmetry - two lines going through the midpoints of opposite sides.

Same as parallelogram, it also has rotational symmetry of 180º about its midpoint. A non-special parallelogram does not have any lines of symmetry. A rectangle is a parallelogram with four right angles. A parallelogram is a quadrilateral with no axis of line symmetry. There is no way to draw such lines through a general parallelogram and have it produce mirror images on either side of the line. Some specific types of parallelogram do. So, it can be said the rhombus lines of symmetry are its both diagonals. The opposite angles of a parallelogram are equal. Both the lines of symmetry in a rhombus are from its diagonals. In simple words, the parallelogram lines of symmetry refer to the lines which cut the parallelogram into two identical parts.

Trapezium. However, a parallelogram does have a crucial symmetry - the half-turn around the central point where they two diagonals intersect. A trapezium has one pair of parallel sides. That is, when the figure is folded along its line of symmetry, both parts should coincide each other. This includes any quadrilateral with two pairs of parallel and equal sides, except for rectangles, squares and rhombuses.

To recall, a parallelogram is a quadrilateral (4-sided figure) where the opposite sides are parallel to each other.

Some special ones (rhombus, rectangle, square) have lines of symmetry. If the parallelogram is just a parallelogram and not a special parallelogram, like a rectangle, rhombus, or square then it does not have a line of symmetry. Symmetry Lines in Different Parallelogram. Squares, which are parallelograms, have four lines of symmetry. General parallelogram has no lines of symmetry. Rectangles have only two. It has rotational symmetry of order 2 i.e. The opposite sides of a parallelogram are equal and parallel.

The lines of symmetry of a parallelogram must either be a diagonal of the parallelogram or must be bisectors of opposite sides. Rhombus is a unique kind of parallelogram and it has 2 lines of symmetry - its diagonals. It has no rotational symmetry. Lines of Symmetry in a Rhombus. Lines of symmetry in a parallelogram vary from type to type. Some special ones (rhombus, rectangle, square) have lines of symmetry. Rhombi have two lines of symmetry.

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