Rotational symmetry.
If you mean which triangle has at least two lines of symmetry, I can answer your question: an equilateral triangle has three lines of symmetry-- one passing through the center of each side and through the opposite point, perpendicular to the side.
5
It depends on the type of parallelogram:The classic generic-looking parallelogram, having no right angles, and having adjacent sides of unequal length, has no lines of symmetry (only point symmetry about the point of intersection of the diagonals).Special types of parallelograms are as follows:A square has 4 lines of symmetry: horizontal, vertical, and one containing each diagonal.A non-square rhombus has two lines of symmetry: one containing each diagonal.A non-square rectangle has two lines of symmetry: horizontal and vertical.
If the question refers to a single completely geometrically straight line of finite length in a plane, then a straight line will have two lines of symmetry. One symmetry line is perpendicular to the line being discussed and one symmetry line coincides with the line being discussed. The symmetry operation here is the one where every point of the figure is flipped perpendicularly across the symmetry line and the object is symmetric if that flipping produced exactly the same set of points. (Said differently, if flipping the set of points through a line produced an exact replica of the original set of points, then the like determining the flip is a symmetry line.) One level of complication occurs if the straight line which is the subject of the symmetry question is an infinitely long straight line. In such a case one symmetry line still coincides with the actual line, but all lines that are perpendicular to the straight line will be lines of symmetry. Thus, an infinitely long straight line has no single point as its "middle" and has an infinitely many symmetry lines consisting of all possible lines perpendicular to the original line.
From each vertex to its opposite vertex. These will be centered on a shared point at the center of the hexagon. Each complete line will be a line of symmetry for the hexagon.
When an image has a point of symmetry, it means that for every point in the image, there is a corresponding point directly opposite it at an equal distance from the center point. Therefore, any line drawn through this central point will divide the image into two mirrored halves, making it a line of symmetry. This property holds true for various shapes, as their symmetrical characteristics are defined by their relationship to this central point. Thus, all lines through the point of symmetry serve as lines of symmetry.
Radial
No, radial symmetry cannot be cut in half because it is a pattern where multiple lines of symmetry can be drawn through a central point, resulting in equal parts around that point. Cutting it in half would disrupt its symmetry.
If you mean which triangle has at least two lines of symmetry, I can answer your question: an equilateral triangle has three lines of symmetry-- one passing through the center of each side and through the opposite point, perpendicular to the side.
it has five lines of symmetry
A circle has an unlimited amount of symmetry lines, as long as the line passes through the middle point of the circle.
A circle exhibits both line symmetry and point symmetry. It has an infinite number of lines of symmetry that pass through its center, dividing it into two mirror-image halves. Additionally, any point on the circle can be reflected through its center to another point on the circle, demonstrating point symmetry. This means that every point on the circle is equidistant from the center, reinforcing both types of symmetry.
rectangle
A five-point star has 10 lines of symmetry. Each of the five points can be mirrored across a line that runs through the opposite point and the center of the star, resulting in five lines. Additionally, there are five lines that bisect the angles between the points, leading to a total of 10 lines of symmetry.
A 5 point star has 5 lines of symmetry.
A 10-point star has 10 lines of symmetry. Each line of symmetry passes through one point of the star and the midpoint of the opposite side, allowing for mirror symmetry across each line. Additionally, the star can be rotated in increments that align with its points, further supporting the symmetry.
Infinite lines because a circle has infinite lines of symmetry.