5D: Dilations

Front

What is a dilation?

Back

A dilation is either an enlargement or a reduction of a figure.

Front

What happens when the scale factor is greater than one?

Back

The new figure will be an enlargement.

Front

What are the coordinates of a figure dilated by a scale factor of 2?

Back

If the original coordinates are A(2,4), B(4,6), and C(6,2), the new coordinates will be A'(4,8), B'(8,12), and C'(12,4).

Front

What does the coefficient 2 mean in the transformation (x, y) -> (2x, 2y)?

Back

The scale factor is 2, making a figure twice the original size.

Front

What is the image of the point B (-10,-6) under a dilation with center at the origin and scale factor k = 1/2?

Back

The image of the point B under the dilation is (-5,-3).

Front

Define scale factor in the context of dilations.

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

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

Back

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

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

Back

A negative scale factor reflects the figure across the origin and can also enlarge or reduce it depending on its absolute value.

Front

What are the coordinates of a point (x,y) after a dilation with a scale factor of k?

Back

The new coordinates will be (kx, ky).