Transformations and Dilations

Front

What is a transformation in geometry?

Back

A transformation is a function that maps a geometric figure onto a new figure, changing its position, size, or 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 figure the same distance in the same direction.

Front

What is a rotation?

Back

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

Front

What is reflection in geometry?

Back

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

Front

Define dilation in geometry.

Back

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

Front

What is the scale factor in dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during dilation.

Front

True or False: Dilation preserves the shape of a figure.

Back

True, dilation preserves the shape but not the size.

Front

What is an isometry?

Back

An isometry is a transformation that preserves distances and angles, resulting in congruent figures.

Front

Which transformation is NOT an isometry?

Back

Dilation is NOT an isometry because it changes the size of the figure.