The answer is 13- for more detail:
A pentagonal prism has 5 faces, each of which can be rotated to align with the original position. Since there are 5 possible positions where the prism looks the same after a rotation, it has 5 axes of rotational symmetry. Each axis passes through the center of a face and is perpendicular to that face.
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.
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°
Symmetry is a balance or harmonious arrangement of parts on either side of an axis or plane. Plane symmetry refers to symmetry in a two-dimensional plane where an object can be reflected across a line to produce an identical shape. This concept is commonly seen in objects like snowflakes or geometric figures.
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.
The answer is 13- for more detail:
A pentagonal prism has 5 faces, each of which can be rotated to align with the original position. Since there are 5 possible positions where the prism looks the same after a rotation, it has 5 axes of rotational symmetry. Each axis passes through the center of a face and is perpendicular to that face.
Reflectional symmetry
WF5Cl: C5 axis (rotation by 72 degrees), σh plane of symmetry (horizontal plane that cuts the molecule in half) SiH3CN: C3 axis (rotation by 120 degrees), σv plane of symmetry (vertical plane that cuts the molecule in half)
In chemistry, the alternating axis of symmetry refers to a type of symmetry found in molecules with multiple C2 axes of symmetry that are perpendicular to one another. This type of symmetry results in a pattern in which the symmetry elements alternate along the molecule, creating a unique arrangement. Examples of molecules with alternating axis of symmetry include benzene and cyclohexane.
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.