K&K Dilation and Translation

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but keeps its shape the same. It is defined by a scale factor.

Front

What does a scale factor greater than 1 indicate?

Back

A scale factor greater than 1 indicates an enlargement of the figure.

Front

What does a scale factor less than 1 indicate?

Back

A scale factor less than 1 indicates a reduction of the figure.

Front

What are similar figures?

Back

Similar figures are figures that have the same shape but different sizes.

Front

What remains constant in similar figures?

Back

The angles remain constant in similar figures.

Front

If a figure is dilated by a scale factor of 2, what happens to its dimensions?

Back

Each dimension of the figure is multiplied by 2, resulting in an enlarged figure.

Front

What is the scale factor if a figure is reduced to half its size?

Back

The scale factor is 1/2.

Front

How do you find the coordinates of a dilated point?

Back

Multiply the original coordinates by the scale factor.

Front

If Point A (3, 4) is dilated by a scale factor of 3, what are the new coordinates?

Back

The new coordinates are (9, 12).

Front

What is the formula for dilation in coordinate geometry?

Back

The formula for dilation is (x', y') = (kx, ky), where k is the scale factor.