Symmetry & Sequences of 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

Define rotation in geometry.

Back

Rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

What is a transformation?

Back

A transformation is an operation that moves or changes a shape in some way, including translations, rotations, reflections, and dilations.

Front

What does it mean for a shape to be congruent?

Back

Two shapes are congruent if they have the same size and shape, meaning they can be superimposed on each other.

Front

Identify the angles of rotation that map a regular hexagon to itself.

Back

Multiples of 60°.

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 the result of a translation?

Back

A translation moves a shape from one location to another without changing its size, shape, or orientation.

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 dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but keeps its proportions the same.