Choose the best answer to the following question. Explain your reasoning with on
ID: 3122133 • Letter: C
Question
Choose the best answer to the following question. Explain your reasoning with one or more complete sentences. What type of symmetry does a perfect circle have? Choose the correct answer below. A. It has rotation symmetry only. lf rotated either 180 or 360 degrees, it will remain unchanged. B. It has reflection symmetry only. The diameter is the only line of reflection symmetry c. It has both reflection and rotation symmetry. The diameter is the line of reflection symmetry, and it will remain unchanged if rotated 360 degrees. D. It has both reflection and rotation symmetry. A perfect circle remains unchanged when rotated, and has an infinite number of lines of refection symmetry E. It has rotation symmetry only. It can be rotated any number of degrees and will still remain unchanged. F. It has reflection symmetry only. A perfect circle has an infinite number of lines of reflection symmetry.Explanation / Answer
A perfect circle has both reflection and rotational symmetry. (With this options A,B,E and F are eliminated)
A cirlce remain unchanged even when rotated any number of degrees, hence has perfect rotational symmetry.
Circles have an infinite number of lines of symmetry. Any line that bisects a circle through its center is a line of symmetry. So infinite number of diameters can be drawn through the center.
Hence the amswer is Option D