Symmetry and Patterns

Which of the following shapes has exactly one line of symmetry?

How many lines of symmetry does the Indian national flag have?

If a pattern repeats every 60 degrees around a point, how many times does it repeat in a full circle?

Which of the following is NOT a rotational symmetry of a regular hexagon?

In a Rangoli design, a pattern is repeated 8 times around a center point. What is the angle of rotation for one repetition?

A butterfly's wings show mirror symmetry. If one wing is painted with 5 orange spots, how many spots will the other wing have?

A square is rotated about its center. After how many degrees of rotation will it look exactly the same as the original?

Consider a pattern with 5-fold rotational symmetry. Which of these angles will NOT map the pattern onto itself?