Geo 3.4 Dilations-Transformations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that produces a figure similar to the original by enlarging or reducing it based on a scale factor.

Front

What is the scale factor in a dilation?

Back

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

Front

If a point B (x, y) is dilated by a scale factor r, what is the new coordinate?

Back

The new coordinate is (rx, ry).

Front

What is the center of dilation?

Back

The center of dilation is the fixed point in the plane about which all points are expanded or contracted.

Front

What is the difference between pre-image and image?

Back

The pre-image is the original figure before a transformation, while the image is the resulting figure after the transformation.

Front

How do you find the image of a point under dilation?

Back

Multiply the coordinates of the point by the scale factor.

Front

What happens to a figure when the scale factor is less than 1?

Back

The figure is reduced in size.

Front

What happens to a figure when the scale factor is greater than 1?

Back

The figure is enlarged.

Front

If the scale factor is 2 and the original point is (3, 4), what is the image?

Back

The image is (6, 8).

Front

What is an example of a real-world application of dilation?

Back

Creating scale models, such as maps or architectural drawings.