Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a geometric figure in some way to produce a new figure.

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 the context of transformations.

Back

Translation is a type of transformation that slides a geometric figure horizontally, vertically, or both without changing its shape or size.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a geometric figure around a fixed point, known as the center of rotation.

Front

What is a reflection in geometry?

Back

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

Front

What does it mean to dilate a figure?

Back

Dilation is a transformation that changes the size of a figure but keeps its shape the same, using a scale factor.

Front

How can you describe a translation of a figure?

Back

A translation can be described by specifying the direction and distance the figure moves, such as '5 units left and 1 unit up'.

Front

What is the effect of a reflection over the x-axis on a point (x, y)?

Back

The effect of a reflection over the x-axis on a point (x, y) is to transform it to (x, -y).

Front

What is the effect of a reflection over the y-axis on a point (x, y)?

Back

The effect of a reflection over the y-axis on a point (x, y) is to transform it to (-x, y).

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a figure is rotated during a rotation transformation.