Question 1

How many reflection and rotational symmetries does a regular octagon have?

Accepted Answer

8 reflection; 8 rotational

Question 2

A) Add to the following design so that it has a reflection symmetry. Draw in the line of symmetry.  
B) Now add to the original design so that it has a rotational symmetry. Show the center of rotation.

Accepted Answer

Check for the type of symmetry and the line/center specified.

Question 3

Add to following figure so that it has rotational symmetry. Show a center of rotation after the addition.

Accepted Answer

Check for the type of symmetry and the line/center specified.

Question 4

A) How many rotational symmetries does a regular 12-gon have?
B) What is the minimum (positive) number of degrees of rotation for the symmetry of a regular 12-gon?

Accepted Answer

The answer of A) How many rotational symmetries does a...

Question 5

A) How many reflection symmetries does the figure below have?
B) How many rotational symmetries does it have?

Accepted Answer

The answer of A) How many reflection symmetries does the...

Question 6

Complete the following sentences.
A) A regular 90-gon has a total of _____ rotational symmetries.
B) A regular 90-gon has a total of _____ reflection symmetries.
C) The smallest positive rotational symmetry of a regular 90-gon would have _____ degrees.

Accepted Answer

The answer of Complete the following sentences.
A) A regular 90-gon...

Question 7

A circle has exactly 360 rotational symmetries.

Accepted Answer

A circle has an infinite number of rotational symmetries because it can be rotated by any angle around its center and still look the same.

Question 8

Sketch a regular triangle and mark all lines of reflection symmetry.

Accepted Answer

The answer of Sketch a regular triangle and mark all...

Question 9

Add to the picture so that it has a reflection symmetry. Draw in the line symmetry.

Accepted Answer

The answer of Add to the picture so that it...

Question 10

Add to the picture so that it has a rotational symmetry. Show the center of rotation.

Accepted Answer

The answer of Add to the picture so that it...

Question 11

How many reflection symmetries does a regular hexagon have? Draw the hexagon and show all the lines of symmetry.

Accepted Answer

The answer of How many reflection symmetries does a regular...

Question 12

Determine the SMALLEST positive amount of the turn (in degrees) for the rotational symmetries in each figure.
A) 
 
B) 
 
C)

Accepted Answer

The answer of Determine the SMALLEST positive amount of the...

Question 13

For each figure, draw in all lines of reflection symmetry. If the figure has no lines of symmetry, write "none."
A) 
 
B) 
 
C)

Accepted Answer

The answer of For each figure, draw in all lines...

Question 14

Consider the following right regular hexagonal prism.  
A) How many reflection symmetries does the figure have?
B) How many rotational symmetries does the figure have?

Accepted Answer

The answer of Consider the following right regular hexagonal prism....

Question 15

A) How many reflection symmetries does every right prism have if its bases are rectangles that are not squares?
B) How many rotational symmetries does every regular square pyramid have?

Accepted Answer

The answer of A) How many reflection symmetries does every...

Question 16

The polyhedron below has exactly one plane of reflection symmetry and one line of rotational symmetry.

Accepted Answer

The answer of The polyhedron below has exactly one plane...

Question 17

Describe all of the reflection and rotational symmetries of the following three-dimensional object. (Feel free to draw pictures to demonstrate.) All of the angles in the object are 90°.

Accepted Answer

The answer of Describe all of the reflection and rotational...

Quiz 18: Symmetry

How many reflection and rotational symmetries does a regular octagon have?

A) Add to the following design so that it has a reflection symmetry. Draw in the line of symmetry. B) Now add to the original design so that it has a rotational symmetry. Show the center of rotation.

Add to following figure so that it has rotational symmetry. Show a center of rotation after the addition.

A) How many rotational symmetries does a regular 12-gon have? B) What is the minimum (positive) number of degrees of rotation for the symmetry of a regular 12-gon?

A) How many reflection symmetries does the figure below have? B) How many rotational symmetries does it have?

Complete the following sentences. A) A regular 90-gon has a total of ___ rotational symmetries. B) A regular 90-gon has a total of _ reflection symmetries. C) The smallest positive rotational symmetry of a regular 90-gon would have ___ degrees.

A circle has exactly 360 rotational symmetries.

Sketch a regular triangle and mark all lines of reflection symmetry.

Add to the picture so that it has a reflection symmetry. Draw in the line symmetry.

Add to the picture so that it has a rotational symmetry. Show the center of rotation.

How many reflection symmetries does a regular hexagon have? Draw the hexagon and show all the lines of symmetry.

Determine the SMALLEST positive amount of the turn (in degrees) for the rotational symmetries in each figure. A) B) C)

For each figure, draw in all lines of reflection symmetry. If the figure has no lines of symmetry, write "none." A) B) C)

Consider the following right regular hexagonal prism. A) How many reflection symmetries does the figure have? B) How many rotational symmetries does the figure have?

A) How many reflection symmetries does every right prism have if its bases are rectangles that are not squares? B) How many rotational symmetries does every regular square pyramid have?

The polyhedron below has exactly one plane of reflection symmetry and one line of rotational symmetry.

Describe all of the reflection and rotational symmetries of the following three-dimensional object. (Feel free to draw pictures to demonstrate.) All of the angles in the object are 90°.

Quiz 18: Symmetry

How many reflection and rotational symmetries does a regular octagon have?

A) Add to the following design so that it has a reflection symmetry. Draw in the line of symmetry. B) Now add to the original design so that it has a rotational symmetry. Show the center of rotation.

Add to following figure so that it has rotational symmetry. Show a center of rotation after the addition.

A) How many rotational symmetries does a regular 12-gon have? B) What is the minimum (positive) number of degrees of rotation for the symmetry of a regular 12-gon?

A) How many reflection symmetries does the figure below have? B) How many rotational symmetries does it have?

Complete the following sentences. A) A regular 90-gon has a total of _____ rotational symmetries. B) A regular 90-gon has a total of _____ reflection symmetries. C) The smallest positive rotational symmetry of a regular 90-gon would have _____ degrees.

A circle has exactly 360 rotational symmetries.

Sketch a regular triangle and mark all lines of reflection symmetry.

Add to the picture so that it has a reflection symmetry. Draw in the line symmetry.

Add to the picture so that it has a rotational symmetry. Show the center of rotation.

How many reflection symmetries does a regular hexagon have? Draw the hexagon and show all the lines of symmetry.

Determine the SMALLEST positive amount of the turn (in degrees) for the rotational symmetries in each figure. A) B) C)

For each figure, draw in all lines of reflection symmetry. If the figure has no lines of symmetry, write "none." A) B) C)

Consider the following right regular hexagonal prism. A) How many reflection symmetries does the figure have? B) How many rotational symmetries does the figure have?

A) How many reflection symmetries does every right prism have if its bases are rectangles that are not squares? B) How many rotational symmetries does every regular square pyramid have?

The polyhedron below has exactly one plane of reflection symmetry and one line of rotational symmetry.

Describe all of the reflection and rotational symmetries of the following three-dimensional object. (Feel free to draw pictures to demonstrate.) All of the angles in the object are 90°.

Complete the following sentences. A) A regular 90-gon has a total of ___ rotational symmetries. B) A regular 90-gon has a total of _ reflection symmetries. C) The smallest positive rotational symmetry of a regular 90-gon would have ___ degrees.