Question
An 8-sided figure is shown. Its sides are all vertical and horizontal but they are all random lengths.
Which type of symmetry does the figure shown have?
(1 point)
Responses
line symmetry only
line symmetry only
point symmetry only
point symmetry only
point and line symmetry
point and line symmetry
no symmetry
no symmetry
Skip to navigation
no symmetry
To determine the type of symmetry the figure has, we need to examine its properties. In this case, the figure is described as having sides of random lengths that are all vertical and horizontal. Since all sides of the figure are vertical and horizontal, we can assume that the figure is a rectangle.
A rectangle has both line symmetry and point symmetry.
Line symmetry refers to the property of a figure that can be divided into two identical halves by a single line. In the case of a rectangle, any vertical or horizontal line passing through its center will divide the figure into two identical halves.
Point symmetry refers to the property of a figure that looks the same when rotated by 180 degrees around a specific point, known as the center of symmetry. In the case of a rectangle, the center of symmetry is the intersection point of its diagonals. If we rotate the figure by 180 degrees around this point, it will look the same.
Therefore, the correct answer is: point and line symmetry.