Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape, either enlarging or reducing it.

Front

What does the scale factor in a dilation represent?

Back

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

Front

If a figure is dilated by a scale factor of 3, what happens to its dimensions?

Back

All dimensions of the figure are multiplied by 3, making it three times larger.

Front

What are corresponding angles in a dilation?

Back

Corresponding angles are angles in the original figure and the dilated figure that remain equal after the dilation.

Front

What is the relationship between the original figure and its dilated image?

Back

The original figure and its dilated image are similar, meaning they have the same shape but different sizes.

Front

How do you calculate the width of a drawing using a scale?

Back

To find the width in the drawing, divide the actual width by the scale factor.

Front

What is the scale factor if 1 cm on a drawing represents 9 m in reality?

Back

The scale factor is 1:9.

Front

If a polygon is dilated by a scale factor of 2, what can be said about the original and the image?

Back

The image will be twice the size of the original polygon, but they will not be congruent.

Front

What is the actual distance if the map scale is 1 in:100 mi and the distance on the map is 1 3/4 inches?

Back

The actual distance is 175 miles.

Front

What happens to the area of a figure when it is dilated by a scale factor of k?

Back

The area of the figure is multiplied by k².