Symmetry and Transformations

Front

What is symmetry?

Back

Symmetry is a property where a shape or object is identical on both sides of a dividing line or around a central point.

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

How many lines of symmetry does a square have?

Back

A square has 4 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 many degrees can a shape with rotational symmetry be rotated before it looks the same?

Back

The number of degrees depends on the shape; for example, a square has rotational symmetry at 90 degrees.

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way, such as translation, rotation, reflection, or dilation.

Front

What is reflection in geometry?

Back

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

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a shape is enlarged or reduced during a dilation.

Front

If a shape is dilated by a scale factor of 2, what happens to its size?

Back

The shape's size doubles; all dimensions are multiplied by 2.

Front

What is the difference between line symmetry and rotational symmetry?

Back

Line symmetry involves a line dividing a shape into mirror images, while rotational symmetry involves rotating a shape around a point to look the same.