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Earn +20 ptsQ: Shapes without rotational symmetry and diagonals are perpendicular?
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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
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