Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape, called the image.

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 shape the same distance in the same direction.

Front

What is a scale factor in dilation?

Back

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

Front

How do you determine the coordinates of a translated point?

Back

To determine the coordinates of a translated point, add the translation values to the original coordinates.

Front

What happens to the coordinates of a point (x, y) when it is reflected across the y-axis?

Back

When reflected across the y-axis, the coordinates change to (-x, y).

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 shape.

Front

What is the effect of a dilation with a scale factor between 0 and 1?

Back

A dilation with a scale factor between 0 and 1 reduces the shape.

Front

How do you translate a shape 5 units down and 3 units to the right?

Back

To translate a shape 5 units down and 3 units to the right, add 3 to the x-coordinate and subtract 5 from the y-coordinate.

Front

What is the result of reflecting a point (a, b) across the x-axis?

Back

The result of reflecting a point (a, b) across the x-axis is (a, -b).