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

What is translation in geometry?

Back

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

Front

What is rotation in geometry?

Back

Rotation is a transformation that turns a figure about a fixed point, known as the center of rotation.

Front

What is reflection in geometry?

Back

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

Front

What is dilation in geometry?

Back

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

Front

If a figure is translated, what can be said about its size and shape?

Back

Translated figures are always congruent; they have the same size and shape as the original figure.

Front

What happens to the coordinates of a point (x, y) when it is rotated 90° counterclockwise about the origin?

Back

The new coordinates will be (-y, x).

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 figure.

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 figure.