Transformations and Dilations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape to create a new shape.

Front

What are the four main types of transformations?

Back

Translation, Reflection, Rotation, and Dilation.

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

Define rotation in geometry.

Back

Rotation is a transformation that turns a shape around a fixed point at a certain angle.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but keeps its proportions the same.

Front

What does the scale factor in dilation represent?

Back

The scale factor indicates how much larger or smaller the dilated shape is compared to the original shape.

Front

If a shape is dilated by a scale factor of 2, what happens to its size?

Back

The shape becomes twice as large as the original shape.

Front

How do you determine the scale factor when given original and dilated points?

Back

Divide the coordinates of the dilated point by the corresponding coordinates of the original point.

Front

What is the result of a reflection across the x-axis?

Back

The y-coordinates of the points change sign, while the x-coordinates remain the same.