Transformations Test Review

Front

What is a transformation in geometry?

Back

A transformation is a function that maps a set of points in a plane to another set of points, changing their position, size, or orientation.

Front

What are the four main types of transformations?

Back

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

Front

Define translation in geometry.

Back

A translation moves every point of a shape the same distance in a given direction.

Front

What is a dilation?

Back

A dilation is a transformation that changes the size of a figure but not its shape, using a scale factor.

Front

What does a scale factor of 2 mean in a dilation?

Back

A scale factor of 2 means that the image is twice the size of the original figure.

Front

What is the difference between enlargement and reduction in dilations?

Back

Enlargement increases the size of a figure (scale factor > 1), while reduction decreases the size (scale factor < 1).

Front

How do you write a rule for a translation?

Back

A translation rule is written in the form (x + a, y + b), where 'a' and 'b' are the horizontal and vertical shifts, respectively.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size, often related by a scale factor.

Front

What is a reflection in geometry?

Back

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