Transformations and Symmetry

Front

What is a transformation in geometry?

Back

A transformation in geometry refers to the movement of a shape or figure in a specific way, which can include translations, rotations, reflections, and dilations.

Front

Define reflection in the context of transformations.

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Front

What is the 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 translation in geometry?

Back

A translation is a transformation that moves a shape a certain distance in a specified direction without changing its size or orientation.

Front

What is the difference between a reflection and a rotation?

Back

A reflection flips a shape over a line, while a rotation turns a shape around a point.

Front

Identify a shape that has no line symmetry but has rotational symmetry.

Back

The letter 'Z' has rotational symmetry but no line symmetry.

Front

What is the significance of the y-axis in reflections?

Back

The y-axis serves as the line of reflection, where points on one side of the y-axis are mirrored to the opposite side.