Answer:
1. Line, Point, Rotational
2. Line, Rotational
3. None
4. Rotational
Step-by-step explanation:
Definitions
- A figure has line symmetry when a line can divide the figure into two mirror images.
- A figure has point symmetry when the figure appears unchanged if rotated 180° about the center point. (Point symmetry can also be described as rotational symmetry of 180°).
- A figure has rotational symmetry if the figure appears unchanged if rotated around the center of rotation by less than 360°. (If a figure has point symmetry, then it also has rotational symmetry by definition).
Figure 1
[tex]\boxed{\checkmark}\;\;\;\sf Line[/tex]
[tex]\boxed{\checkmark}\;\;\;\sf Point[/tex]
[tex]\boxed{\checkmark}\;\;\;\sf Rotational[/tex]
[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf None[/tex]
This figure has vertical and horizontal lines of symmetry.
As this figure has point symmetry, it also has rotational symmetry of 180°.
Figure 2
[tex]\boxed{\checkmark}\;\;\;\sf Line[/tex]
[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf Point[/tex]
[tex]\boxed{\checkmark}\;\;\;\sf Rotational[/tex]
[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf None[/tex]
This figure has a vertical line of symmetry.
This figure does not have point symmetry as when the figure is rotated 180°, it no longer appears the same as the original figure.
This figure has rotational symmetry of 120°.
Figure 3
[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf Line[/tex]
[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf Point[/tex]
[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf Rotational[/tex]
[tex]\boxed{\checkmark}\;\;\;\sf None[/tex]
It's difficult to tell as the provided picture of this figure is not flat, but it appears not to have any symmetry.
Figure 4
[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf Line[/tex]
[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf Point[/tex]
[tex]\boxed{\checkmark}\;\;\;\sf Rotational[/tex]
[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf None[/tex]
This figure has no line symmetry.
This figure does not have point symmetry as when the figure is rotated 180°, it no longer appears the same as the original figure.
This figure has rotational symmetry of 120°.
