This diagram shows a regular hexagon ABCDEF with center at 0.

Justine made these claims.
• The only lines of symmetry for regular hexagon ABCDEF are the
lines that contain one vertex and O.
• The only angle of rotation that shows rotational symmetry is 120°
Explain why Justine is correct or incorrect.

Line of symmetry for the regular hexagon are the lines joining opposite vertices and perpendicular lines on the opposite sides of the polygon through point O. (Example: lines BE and y-axis)

Therefore, claim that only lines of symmetry for the regular hexagon are the lines that contain one vertex and point O, is incorrect.

Angle of rotation by which can overlap point C to B will be

= [tex]\frac{\text{360}}{\text{Number of sides of the polygon}}[/tex]

= [tex]\frac{360}{6}[/tex]

= 60°

Therefore, only angle of rotation that shows rotational symmetry is 120°, is incorrect.

ahirohit963 ahirohit963 · Answer 2 · 2021-11-18T08:26:17+01:00

The first claim of Justine is incorrect and the second claim of Justine is correct and this can be determined by the definition of line of symmetry and by finding the angle of rotation.

Given :

A regular hexagon ABCDEF with center at O.

For a regular hexagon ABCDEF, lines of symmetry are the lines that join the opposite vertices and perpendicular lines on the opposite sides of the polygon through point O.

Therefore, the first claim "The only lines of symmetry for regular hexagon ABCDEF are the lines that contain one vertex and O" is incorrect.

The angle of rotation is given by:

[tex]\rm = \dfrac{360^\circ}{Number \; of \; sides}[/tex]

[tex]\rm = \dfrac{360}{6}[/tex]

= [tex]60^\circ[/tex]

Therefore, the second claim of Justine is, "The only angle of rotation that shows rotational symmetry is 120°" is correct.

For more information, refer to the link given below:

https://brainly.com/question/2463451