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 does it mean to reflect a shape over the x-axis?

Back

Reflecting a shape over the x-axis means flipping it over the x-axis, changing the sign of the y-coordinates of the points.

Front

What is a rotation in geometry?

Back

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

Front

Define dilation in geometry.

Back

Dilation is a transformation that changes the size of a shape but not its shape, by a scale factor.

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

How do you determine if two figures are congruent?

Back

Two figures are congruent if one can be transformed into the other using rotations, translations, or reflections.

Front

What is the difference between congruent and similar figures?

Back

Congruent figures have the same size and shape, while similar figures have the same shape but may differ in size.