Does this figure have rotational symmetry?
A) No, pentagons cannot be rotated.
B) No, it has five lines of symmetry.
C) Yes, it has five lines of symmetry.
D) No, it only looks the same if it is rotated 360°. CORRECT ANSWER
Answers
Answer: D) No, it only looks the same if it is rotated 360°.
Step-by-step explanation:
- We are given a pentagon with a solid circle at one of its corner.
- We know that a figure is said to has rotational symmetry if it appears exactly same after a rotation about particular degrees.
- The order of rotational symmetry is the number of times a shape maps onto itself during a rotation of 360°.
- Generally the order of rotational symmetry of a pentagon is 5 as it maps onto itself during a rotation of 360°.
- But the given pentagon has a solid circle at one of its corner, because of this it only looks the same if it is rotated 360°.
Therefore, the given figure do not has rotational symmetry.
Answer: D) No, it only looks the same if it is rotated 360°.
Step-by-step explanation:
We are given a pentagon with a solid circle at one of its corner.
We know that a figure is said to has rotational symmetry if it appears exactly same after a rotation about particular degrees.
The order of rotational symmetry is the number of times a shape maps onto itself during a rotation of 360°.
Generally the order of rotational symmetry of a pentagon is 5 as it maps onto itself during a rotation of 360°.
But the given pentagon has a solid circle at one of its corner, because of this it only looks the same if it is rotated 360°.