Transformations Review

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 four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

What does translation mean in geometry?

Back

Translation means sliding a figure from one position to another without turning it.

Front

What is a reflection?

Back

A reflection flips or mirrors an object across a line, creating a mirror image.

Front

What is a rotation?

Back

A rotation turns a figure about a fixed point, known as the center of rotation.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but not its shape.

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

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

What is the effect of a 90° counterclockwise rotation on a point (x, y)?

Back

The new coordinates after a 90° counterclockwise rotation are (-y, x).

Front

What is the effect of a 180° rotation on a point (x, y)?

Back

The new coordinates after a 180° rotation are (-x, -y).