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When does a parallelogram have fewer than four lines of symmetry?
A parallelogram has fewer than four lines of symmetry when it is not a rectangle or a square. Specifically, a general parallelogram, like a rhomboid, has only two lines of symmetry, which are the diagonals. In contrast, rectangles and squares have additional lines of symmetry, resulting in four lines for squares and two for rectangles. Thus, any non-rectangular parallelogram will have fewer than four lines of symmetry.
Are diagonals in a rhombus lines of symmetry?
There are no lines of symmetry; However, the lines opposite are parallel to each other
Are diagonals lines of symmetry in a rectangle and parallelogram?
No.
What Quadrilateral that has two lines of symmetry that are diagonals?
The quadrilateral that has two lines of symmetry that are diagonals is a rhombus. In a rhombus, the diagonals bisect each other at right angles and serve as lines of symmetry. Each diagonal divides the rhombus into two congruent triangles, reflecting the shape across the diagonal. This property gives the rhombus its two lines of symmetry.
Is the diagonals of a rectangle axes of symmetry?
No but a rectangle does have 2 lines of symmetry
What quadrilateral have 2 lines of symmetry that are not diagonals?
A rectangle
How many lines of symmetry does a lozenge have?
two diagonals and with symetric center of two diagonals
Does a rectangle have four lines of symmetry?
Only two - parallel to and halfway between the sides. The diagonals are not lines of symmetry.
How many lines of symmetry and diagonals does a heptagon have?
A heptagon can have 7 lines of symmetry but it need not have any. It will have 7*(7-3)/2 = 7*4/2 = 14 diagonals.
How many shapes have a diagonal which is a line of symmetry?
In geometry, certain shapes have diagonals that act as lines of symmetry. Specifically, regular polygons with an even number of sides, such as squares and hexagons, have diagonals that can serve as lines of symmetry. Additionally, rectangles and some other symmetrical quadrilaterals also exhibit this property. However, not all shapes have this characteristic; it is primarily found in shapes with specific symmetrical properties.
Are all lines of symmetry also diagonals?
No, not all lines of symmetry are diagonals. A line of symmetry is a line that divides a shape into two identical halves, which can be vertical, horizontal, or diagonal. While some shapes may have diagonal lines of symmetry, others can have vertical or horizontal lines that are not diagonal. Therefore, lines of symmetry can exist in various orientations depending on the shape.
How many lines of symmetry does a parallogram have?
Most parallelograms do not have any lines of symmetry. The only parallelograms that can have lines of symmetry are squares, rectangles, and rhombuses.
