Identify Transformations

Front

What is a transformation in geometry?

Back

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

Front

Define translation in geometry.

Back

Translation is a transformation that moves every point of a shape the same distance in the same direction.

Front

What is reflection in geometry?

Back

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

Front

Explain rotation in geometry.

Back

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

Front

What is 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 scale factor in dilation?

Back

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

Front

How does a translation affect the coordinates of a point?

Back

In a translation, the coordinates of a point (x, y) change to (x + a, y + b), where a and b are the distances moved in the x and y directions.

Front

What happens to a shape during a reflection?

Back

During a reflection, the shape is flipped over a line, and the distances from the line to the points of the shape remain the same.

Front

What is the difference between rotation and reflection?

Back

Rotation turns a shape around a point, while reflection flips it over a line.

Front

Can a shape undergo multiple transformations?

Back

Yes, a shape can undergo multiple transformations, such as a translation followed by a rotation.