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

Define translation in geometry.

Back

Translation is a transformation that moves every point of a shape the same distance in the same direction.

Front

What is a rotation?

Back

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

Front

What does reflection mean in geometry?

Back

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 not its shape, using a scale factor.

Front

What is the scale factor in dilation?

Back

The scale factor is the ratio of the size of the new shape to the size of the original shape.

Front

How do you determine the angle of rotation?

Back

The angle of rotation is determined by how far the shape is turned around the center of rotation.

Front

What is the effect of a 90-degree clockwise rotation on a point (x, y)?

Back

The new coordinates will be (y, -x).

Front

What happens to a shape during a reflection across the x-axis?

Back

The y-coordinates of the points of the shape are inverted, changing (x, y) to (x, -y).