Dilations Intro

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 scale factor.

Front

What does a scale factor greater than 1 indicate in a dilation?

Back

It indicates an enlargement of the figure.

Front

What does a scale factor less than 1 indicate in a dilation?

Back

It indicates a reduction of the figure.

Front

If a figure is dilated with a scale factor of 1, what happens to the figure?

Back

The figure remains the same size; it is neither enlarged nor reduced.

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

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 it is less than 1, it is a reduction.

Front

What happens to the coordinates of a point (x, y) when it is dilated by a scale factor of k?

Back

The new coordinates become (kx, ky).

Front

If a triangle has vertices at (1, 2), (3, 4), and (5, 6), what are the new coordinates after a dilation with a scale factor of 2?

Back

The new coordinates are (2, 4), (6, 8), and (10, 12).

Front

What is the effect of a dilation on angles in a figure?

Back

Dilation does not change the measures of angles; they remain the same.

Front

Can a dilation be performed on a figure centered at a point other than the origin?

Back

Yes, a dilation can be centered at any point, not just the origin.