Question

question 17 of 25
tell how many times the figure will show rotational symmetry within one full rotation.
0 times
3 times
2 times
6 times

Explanation:

Step1: Understand Rotational Symmetry

Rotational symmetry occurs when a figure can be rotated by an angle and still look the same. For a figure with \( n \) -fold rotational symmetry, it will match its original form \( n \) times in a full \( 360^\circ \) rotation.

Step2: Analyze the Recycle Symbol

The recycle symbol (three - arrowed figure) has 3 identical parts arranged around a central point. When we rotate the figure by \( \frac{360^\circ}{3}=120^\circ \), \( 2\times\frac{360^\circ}{3} = 240^\circ \), and \( 3\times\frac{360^\circ}{3}=360^\circ \) (which is the full rotation), the figure will coincide with its original position. So within one full rotation, it shows rotational symmetry 3 times.

Answer:

B. 3 times