Transformations Geometry

Front

What is a transformation in geometry?

Back

A transformation in geometry 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 it mean to dilate a shape?

Back

To dilate a shape means to resize it by a scale factor, either enlarging or reducing its size.

Front

How do you determine the scale factor in a dilation?

Back

The scale factor is determined by dividing the distance from the center of dilation to a point on the image by the distance from the center of dilation to the corresponding point on the original shape.

Front

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

Back

A scale factor greater than 1 enlarges the shape.

Front

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

Back

A scale factor less than 1 reduces the shape.

Front

What is a translation in geometry?

Back

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

Front

How is a translation represented algebraically?

Back

A translation is represented as (x, y) → (x + a, y + b), where 'a' and 'b' are the horizontal and vertical shifts, respectively.

Front

What does a reflection do to a shape?

Back

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

Front

What is the line of reflection?

Back

The line of reflection is the line over which a shape is reflected.