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 scale factor.

Front

What does the scale factor indicate in a dilation?

Back

The scale factor indicates how much larger or smaller the image will be compared to the original figure.

Front

If the scale factor is greater than 1, what type of transformation is it?

Back

It is an enlargement.

Front

If the scale factor is less than 1, what type of transformation is it?

Back

It is a reduction.

Front

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

Back

(x, y) goes to (2x, 2y).

Front

How do you find the coordinates of a dilated point C' if C has coordinates (6, -3) and the scale factor is 2?

Back

C' = (2*6, 2*-3) = (12, -6).

Front

What is the effect of a scale factor of 1/2 on a figure?

Back

It reduces the size of the figure to half of its original dimensions.

Front

What is the difference between enlargement and reduction in dilations?

Back

Enlargement increases the size of the figure (scale factor > 1), while reduction decreases the size (scale factor < 1).

Front

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

Back

Compare the scale factor to 1: if > 1, it's an enlargement; if < 1, it's a reduction.

Front

What are the coordinates of point A' if A is at (4, 2) and the scale factor is 3?

Back

A' = (3*4, 3*2) = (12, 6).