Symmetry

A regular polygon with 9 equal sides and 9 equal angles has how many lines of symmetry?

How many lines of symmetry can be drawn in a regular polygon with 15 sides?

How many lines of symmetry does a regular polygon with 1000 sides have?

What is the difference between the number of lines of symmetry of a regular octagon and a regular hexagon?

Calculate $x$ if a regular polygon with $2x + 1$ sides has $11$ lines of symmetry.

Which polygon has more lines of symmetry: a regular pentagon or a square?

How many lines of symmetry are found in a regular polygon with $24$ equal sides?

Find the measure of each exterior angle of a regular polygon that has $30$ lines of symmetry.

A regular polygon has an interior angle sum of $1260^\circ$. How many lines of symmetry does it have?

In a regular polygon with $15$ sides, every line of symmetry must pass through:

What is the angle of rotation for a regular polygon with $15$ sides?

If a figure looks identical after a $1/3$ turn, its order of rotational symmetry is:

If a regular polygon has an angle of rotation of $40^\circ$, how many sides does it have?

A regular polygon with $20$ sides has an angle of rotation of:

What is the angle of rotation for a square about the point where its diagonals bisect each other?

If a figure has an angle of rotation of $120^\circ$, its order of rotational symmetry is:

What is the order of rotational symmetry for the letter 'I'?

A figure has an order of rotational symmetry $n$, where $1 < n < 10$. If the figure maps exactly onto itself after a rotation of $135^\circ$ about its center, what is the value of $n$?

Which letter of the alphabet looks the same after a rotation of $180^\circ$ but NOT after a rotation of $90^\circ$?

If a figure has rotational symmetry of order $4$, what is the angle of rotation?

If a flower has $5$ identical petals, its order of rotational symmetry is:

A regular polygon with an angle of rotation of $30^\circ$ has an order of rotational symmetry of:

A paper fan made of $12$ identical folds arranged in a circle has an order of rotational symmetry of:

What is the order of rotational symmetry for a figure that repeats every $40^\circ$?

What is the smallest angle of rotation for a regular decagon?

If a figure has an order of rotational symmetry of $1$, it looks the same only after a rotation of:

A regular dodecagon (12 sides) has an order of rotational symmetry of:

The order of rotational symmetry of a regular octagon is $A$ and a regular decagon is $B$. Find $B - A$.

If the order of rotational symmetry of a figure is $x$, and $x^2 = 64$, what is the smallest angle of rotation?

A pattern is created by repeating a motif every $60^\circ$ around a center. What is the order of rotational symmetry of the pattern?

Which of these figures has rotational symmetry of order $4$?

A square has a smallest angle of rotation of:

How many lines of symmetry does the letter 'A' have?

The letter 'X' has an order of rotational symmetry of:

What is the angle of rotation for a regular polygon with $18$ sides?

Which of these letters has rotational symmetry of order $1$?

How many lines of symmetry are there in a regular polygon with $24$ sides?

The letter 'H' is designed such that its height and width are equal, and the thickness of all its bars is the same. If a second identical letter 'H' is rotated $90^\circ$ about its center and placed directly on top of the first 'H' so that they share the same center, what is the order of rotational symmetry of the resulting composite shape?

A composite figure is formed by taking a regular pentagon and attaching an identical square to each of its five sides, pointing outwards. Let $L$ be the number of lines of symmetry and $R$ be the order of rotational symmetry of this figure. What is the value of $L + R$?

A regular hexagon's vertices are colored in a specific sequence: Red, Red, Blue, Red, Red, Blue. What is the order of rotational symmetry of this colored hexagon?