It maintains the location of each of its vertices and lines (or curves) in space.
No, that statement is not true. Reflectional symmetry refers to a design that is identical on both sides of a central line, meaning it can be folded along that line and the two halves will match. The quality of maintaining characteristics when rotated about a point describes rotational symmetry, not reflectional symmetry.
Actually, reflectional symmetry refers to a design's ability to be divided into two identical halves that are mirror images of each other along a line of symmetry. It does not involve rotation; instead, it is about flipping the design over the line. For a shape to exhibit reflectional symmetry, one side must be a mirror image of the other side.
all characteristics true
It can be rotated 3 different places and can still maintain all of its characteristic when a design has three fold symmetry.
Reflectional symmetry, also known as mirror symmetry, occurs when a design can be divided into two identical halves that are mirror images of each other. This means that if you were to draw a line (the line of symmetry) through the design, one side would reflect the other. It does not involve rotation; instead, it focuses on the balance and equivalence of shapes across a central axis. Therefore, the definition provided seems to confuse reflectional symmetry with rotational symmetry.
False
Reflectional symmetry
No, that statement is not true. Reflectional symmetry refers to a design that is identical on both sides of a central line, meaning it can be folded along that line and the two halves will match. The quality of maintaining characteristics when rotated about a point describes rotational symmetry, not reflectional symmetry.
Reflectional symmetry
Actually, reflectional symmetry refers to a design's ability to be divided into two identical halves that are mirror images of each other along a line of symmetry. It does not involve rotation; instead, it is about flipping the design over the line. For a shape to exhibit reflectional symmetry, one side must be a mirror image of the other side.
all characteristics true
False.
A design with four-fold symmetry can be rotated 90, 180, or 270 degrees and still maintain all of its characteristics. This means there are three different places it can be rotated while keeping its symmetry.
true
It can be rotated 3 different places and can still maintain all of its characteristic when a design has three fold symmetry.
3!
2