I believe it has both.
If you draw planes through the middle of opposite sides e.g. top/bottom, left side/right side, front/back, you will get three planes of (refection) symmetry.
Also if you draw three lines through those same points, you will get three axes of (rotational) symmetry.
The answer is 13- for more detail:
It need not have any. It can have two.
Reflectional symmetry
Its extremum is on its axis of symmetry.
No, that is false since the question describes rotational symmetry. A reflection of a shape on the Cartesian plane produces a mirror image. A rotation of a shape on the Cartesian plane turns the shape through an angle at a fixed point.
If you ignore the print, then it has a plane of symmetry (possibly) but not an axis of symmetry. If you ignore the print and the "pop-top" part, then it has both.
There are three elements of symmetry: 1-axis of symmetry It's a line which cuts the molecule into two equal halves. 2-plane of symmetry It's a plane which cuts the molecule into two equal halves (such as 'axis of symmetry' but axis is a line and here it's a plane). 3-center of symmetry It's a point in space that, if you draw a line from any part to it, and then extend the line beyond it, another atom will be encountered.
No. A square is a plane figure and conventionally for plane figures symmetry is considered in terms of rotation about a point or an axis (in the plane of the figure) but not a plane outside the plane of the square.
It depends upon the pyramid: if it is a right rectangular pyramid it will have one axis of rotational symmetry which runs from the apex to the centre of the base and a rotational symmetry of 2. If it is not a right rectangular pyramid then there is no axis of rotation which will permit the pyramid to fit on itself before a complete rotation of 360°
The answer is 13- for more detail:
It need not have any. It can have two.
Reflectional symmetry
A molecule possess an n-fold alternating axis of symmetry if,when rotated through an angle of 3600/n about this axis and then followed by reflection of in plane perpendicular to the axis;the molecule is indistinguishable from the original molecule.
Any plane that bisects a cone passing through the pointy tip and the diameter of the base i.e. through the axis of the cone, will be a plane of symmetry. Since any plane passing through the cone this way can be rotated by any angular increment and still remain a plane of symmetry, there are an infinite number of planes of symmetry.
Reflectional symmetry
Axial symmetry.
Axial symmetry.