DILATIONS

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a center point and a scale factor.

Front

What is the scale factor in a dilation?

Back

Front

If the scale factor is greater than 1, what happens to the figure?

Back

The figure is enlarged.

Front

If the scale factor is between 0 and 1, what happens to the figure?

Back

The figure is reduced.

Front

What is the algebraic representation of a dilation with a scale factor of 2?

Back

The algebraic representation is (x, y) --> (2x, 2y).

Front

How do you find the coordinates of a dilated point?

Back

Multiply the original coordinates by the scale factor. For example, if the original point is (x, y) and the scale factor is k, the new coordinates are (kx, ky).

Front

What is the formula to calculate the scale factor when given two similar figures?

Back

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but different sizes, which means their corresponding angles are equal and their corresponding sides are proportional.

Front

How do you dilate a point (4, 3) by a scale factor of 3?

Back

Multiply the coordinates by the scale factor: (4, 3) --> (4*3, 3*3) = (12, 9).

Front

What is the effect of a negative scale factor in dilation?

Back

A negative scale factor not only changes the size of the figure but also reflects it across the center of dilation.