Transformations (Translations, Reflections, and Rotations)

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape.

Front

What are the three main types of transformations?

Back

The three main types of transformations are translations, reflections, and rotations.

Front

What is a translation?

Back

A translation is a transformation that slides a shape from one position to another without turning it.

Front

What is a reflection?

Back

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

Front

What is a rotation?

Back

A rotation is a transformation that turns a shape around a fixed point at a certain angle.

Front

How do you identify a reflection across the x-axis?

Back

In a reflection across the x-axis, the y-coordinates of the points change sign, while the x-coordinates remain the same.

Front

How do you identify a reflection across the y-axis?

Back

In a reflection across the y-axis, the x-coordinates of the points change sign, while the y-coordinates remain the same.

Front

What is the result of a 180° rotation about the origin?

Back

A 180° rotation about the origin changes the signs of both the x and y coordinates of a point.

Front

What is symmetry in transformations?

Back

Symmetry in transformations refers to a situation where one shape becomes exactly like another when it is transformed.

Front

What is the difference between rotation symmetry and reflection symmetry?

Back

Rotation symmetry occurs when a shape can be rotated around a center point and still look the same, while reflection symmetry occurs when a shape can be divided into two identical halves.