Module 3: Dilations Flashcard

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a shape but keeps its proportions the same. It can be an enlargement or a reduction.

Front

What is a scale factor?

Back

The scale factor is a number that describes how much a shape is enlarged or reduced during a dilation. A scale factor greater than 1 indicates enlargement, while a scale factor less than 1 indicates reduction.

Front

If a shape is dilated by a scale factor of 3, what happens to its size?

Back

The shape is enlarged to three times its original size.

Front

If a shape is dilated by a scale factor of 1/2, what happens to its size?

Back

The shape is reduced to half of its original size.

Front

How do you determine if a dilation is an enlargement or a reduction?

Back

If the scale factor is greater than 1, it is an enlargement. If the scale factor is less than 1, it is a reduction.

Front

What are the coordinates of a point after dilation by a scale factor of 2 from the origin?

Back

If the original coordinates are (x, y), after dilation by a scale factor of 2, the new coordinates will be (2x, 2y).

Front

What is the effect of a scale factor of 1 on a shape?

Back

A scale factor of 1 means the shape remains the same size; there is no change.

Front

How do you find the new coordinates of a point after dilation?

Back

Multiply each coordinate of the point by the scale factor. For example, if the point is (x, y) and the scale factor is k, the new coordinates will be (kx, ky).

Front

What is the dilation rule for a shape centered at the origin?

Back

For a shape centered at the origin, the dilation rule is (x, y) -> (kx, ky), where k is the scale factor.

Front

What is the relationship between the original shape and the dilated shape?

Back

The dilated shape is similar to the original shape, meaning they have the same shape but different sizes.