Question

NO LINKS!! Determine if the figures have line, point, and/or rotational symmetry. Check all that apply. Part 1​

Answer 1

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

$\boxed{\checkmark}\;\;\;\sf Line$

$\boxed{\checkmark}\;\;\;\sf Point$

$\boxed{\checkmark}\;\;\;\sf Rotational$

$\boxed{\phantom{\checkmark}}\;\;\;\sf None$

This figure has vertical and horizontal lines of symmetry.

As this figure has point symmetry, it also has rotational symmetry of 180°.

Figure 2

$\boxed{\checkmark}\;\;\;\sf Line$

$\boxed{\phantom{\checkmark}}\;\;\;\sf Point$

$\boxed{\checkmark}\;\;\;\sf Rotational$

$\boxed{\phantom{\checkmark}}\;\;\;\sf None$

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

$\boxed{\phantom{\checkmark}}\;\;\;\sf Line$

$\boxed{\phantom{\checkmark}}\;\;\;\sf Point$

$\boxed{\phantom{\checkmark}}\;\;\;\sf Rotational$

$\boxed{\checkmark}\;\;\;\sf None$

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

$\boxed{\phantom{\checkmark}}\;\;\;\sf Line$

$\boxed{\phantom{\checkmark}}\;\;\;\sf Point$

$\boxed{\checkmark}\;\;\;\sf Rotational$

$\boxed{\phantom{\checkmark}}\;\;\;\sf None$

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°.