Symmetry, Reflections, Translations

Front

What is symmetry in geometry?

Back

Symmetry in geometry refers to a situation where one shape becomes exactly like another when you move it in some way, such as flipping, rotating, or translating.

Front

How many types of symmetry are there?

Back

There are two main types of symmetry: line symmetry (reflectional symmetry) and rotational symmetry.

Front

What is a line of symmetry?

Back

A line of symmetry is a line that divides a shape into two identical parts that are mirror images of each other.

Front

Can you give an example of a shape with multiple lines of symmetry?

Back

A regular hexagon has 6 lines of symmetry.

Front

What is rotational symmetry?

Back

Rotational symmetry is when a shape can be rotated around a central point and still look the same at certain angles.

Front

How do you determine the order of rotational symmetry?

Back

The order of rotational symmetry is the number of times a shape fits onto itself during a full rotation of 360 degrees.

Front

What is a translation in geometry?

Back

A translation is a type of transformation that moves every point of a shape the same distance in a given direction.

Front

What is the rule for translating a point (x, y) to (x-2, y+9)?

Back

To translate a point (x, y) to (x-2, y+9), you subtract 2 from the x-coordinate and add 9 to the y-coordinate.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

What is the line of reflection?

Back

The line of reflection is the line across which a shape is flipped to create a mirror image.