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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. :)
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.
What is something without symmetry?
Asymmetrical
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
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!
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.
Rotational symmetry is the quality a design has if it maintains all characteristics when it is rotated about a line of symmetry?
Yes, that's correct. Rotational symmetry refers to the property of a shape that remains unchanged after a certain degree of rotation around a central point or axis. The number of times a shape fits within a full rotation without changing appearance is its order of rotational symmetry.
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.
How will you prevent swirling in agitated vessels?
install baffles, which impede rotational flow without interfering with radial or longitudinal flow. A simple and effective baffling is attained by installing vertical strips perpendicular to the wall of the tanks..
Why do diagonals on a kite bisect each other?
Well, honey, diagonals on a kite bisect each other because a kite is a special kind of quadrilateral where the diagonals are perpendicular. So, when two lines are perpendicular, they create right angles, and right angles mean the diagonals bisect each other. It's like a geometry magic trick, but without the rabbit in the hat.
