Identify Transformations

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 a given 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.

Front

Explain reflection in geometry.

Back

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

Front

What does dilation do to a shape?

Back

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

Front

How do you represent a translation mathematically?

Back

A translation can be represented as (x, y) → (x + a, y + b), where 'a' and 'b' are the distances moved in the x and y directions.

Front

What is the effect of a dilation with a scale factor greater than 1?

Back

A dilation with a scale factor greater than 1 enlarges the shape.

Front

What is the effect of a dilation with a scale factor less than 1?

Back

A dilation with a scale factor less than 1 reduces the size of the shape.

Front

Back

The rule indicates a translation of 6 units left and 4 units up.