Which shape has rotational symmetry
B.heart
C arrow
D octogon
D octagon.
A six-pointed star has which types of symmetry
A six-pointed star has both rotational symmetry and reflective symmetry. It has rotational symmetry of order 6, meaning it can be rotated by 60 degrees around its center and still look the same. It also has reflective symmetry along multiple lines of symmetry, including the vertical axis, horizontal axis, and diagonal axes.
A six pointed star has what lines of symmetry
A. Line symmetry
B point symmetry
C. Rotational symmetry
A six pointed star has both line symmetry and rotational symmetry. It has six lines of symmetry that divide the star into mirror-image halves, passing through the center and bisecting opposite points. It also has rotational symmetry of order 6, meaning it can be rotated by 60 degrees around its center and still look the same. However, it does not have point symmetry as it does not look the same when inverted around any of its points.
The shape that has rotational symmetry is the D. octagon.
To determine which shape has rotational symmetry among the options of a heart, an arrow, and an octagon, you would need to understand the concept of rotational symmetry.
Rotational symmetry is when a shape remains the same after being rotated by a certain angle around a central point. In other words, if you rotate a shape and it looks exactly as it did before the rotation, then it has rotational symmetry.
Let's examine each shape to see if it has rotational symmetry:
B. Heart: A heart shape does not have rotational symmetry because no matter how you rotate it, it will not look the same as it did before the rotation. The rounded curves and distinct halves of a heart shape make it impossible to find a central point around which to rotate it.
C. Arrow: An arrow shape can have rotational symmetry if it is symmetrical and balanced around a central point. An ideal arrow shape with uniform shape and size on both sides, including the arrowhead and tail, can have rotational symmetry.
D. Octagon: An octagon is a polygon with eight sides. An octagon shape can have rotational symmetry if it is a regular octagon, meaning all sides and angles are equal. A regular octagon can be rotated by increments of 45 degrees (360 degrees divided by 8) around its center point and will look the same.
Therefore, among the given options, the shape that has rotational symmetry is:
D. Octagon