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Does a rectangle have line symmetry without rotational symmetry?
No A rectangle has rotational symmetry as well
Does an isosceles triangle have line symmetry without rotational symmetry?
Yes it does
Does a flower have a rotational symmetry?
Yes it does. As long as it has a symmetry without rotation. If you do the rotation either way it does have symmetry. :)
If the diagonals of a quadrilateral are perpendicular then the quadrilateral is a rhombus?
While it is true that if a quadrilateral has perpendicular diagonals, it can indicate that the shape is a rhombus, this condition alone is not sufficient for classification. Other quadrilaterals, such as kites, can also have perpendicular diagonals. Therefore, while perpendicular diagonals are a characteristic of rhombuses, they do not definitively determine that a quadrilateral is a rhombus without additional properties being met.
Does a sphere have rotational symmetry?
Yes, a sphere has infinite rotational symmetry. This means it can be rotated around any axis through its center without changing its appearance. No matter the angle of rotation, a sphere looks the same, demonstrating perfect symmetry in all directions.
Does a rectangle have line symmetry without rotational symmetry?
No A rectangle has rotational symmetry as well
Is it possible for a quadrilateral to have perpendicular diagonals without being a rhombus?
yes. A kite is not a rhombus, but has perpendicular diagonals.
Does an isosceles triangle have line symmetry without rotational symmetry?
Yes it does
Does a flower have a rotational symmetry?
Yes it does. As long as it has a symmetry without rotation. If you do the rotation either way it does have symmetry. :)
Can a smiley face without a nose have rotational symmetry?
yes it could still be rotatonal symmetry
If the diagonals of a quadrilateral are perpendicular then the quadrilateral is a rhombus?
While it is true that if a quadrilateral has perpendicular diagonals, it can indicate that the shape is a rhombus, this condition alone is not sufficient for classification. Other quadrilaterals, such as kites, can also have perpendicular diagonals. Therefore, while perpendicular diagonals are a characteristic of rhombuses, they do not definitively determine that a quadrilateral is a rhombus without additional properties being met.
Does a hexagon have rotational symmetry?
Yes. Any even sided figure will have a rotational symmetry. Yes. If it is a regular shape such as a square, hexagon or octagon (equilateral and equiangular) then the rotational symmetry is the same as the number of sides. Rotational symmetry is basically if the shape is rotated, is it exactly the same as it was before. A hexagon can be rotated 6 times and still be the same without actually being in the the same postition, so a hexagon has a rotational symmetry of 6.
Does kite have rotational symmetry?
Oh, what a happy little question! A kite does indeed have rotational symmetry. Just like how you can turn a kite and it still looks the same, it has rotational symmetry. Keep exploring and creating, my friend!
Does a sphere have rotational symmetry?
Yes, a sphere has infinite rotational symmetry. This means it can be rotated around any axis through its center without changing its appearance. No matter the angle of rotation, a sphere looks the same, demonstrating perfect symmetry in all directions.
What is the order of rotational symmetry for a regular hexagon?
Oh, dude, a regular hexagon has six sides, so it has six lines of symmetry. Each line of symmetry represents a different way you can rotate the hexagon and have it look the same. So, the order of rotational symmetry for a regular hexagon is 6. Like, it's symmetry, but make it hexagonal.
Does a regular pentagon have rotational symmetry?
Yes, a regular pentagon has rotational symmetry. It can be rotated around its center by multiples of (72^\circ) (360° divided by 5) and still look the same. This means it has five distinct positions in which it can be rotated without appearing different. Thus, the regular pentagon exhibits rotational symmetry of order 5.
Are the diagonals of a square are never perpendicular?
The diagonals of a square are always perpendicular. Proof: Without loss of generality, assume the square has side length 1 and one vertex is at the origin. The square ABCD is given by: A = (0,0) , B = (1,0) , C = (1,1) , D = (0,1) The diagonals are d1=AC and d2=BD. Finding equations for each of them yields d1 = x d2 = 1-x (you can double check this) So, the relative slopes are 1 and -1. Since their product is -1, they are perpendicular.
