Dilations Review

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 and a center of dilation.

Front

What does the scale factor indicate in a dilation?

Back

The scale factor indicates how much the figure is enlarged or reduced. A scale factor greater than 1 enlarges the figure, while a scale factor less than 1 reduces it.

Front

If a point (x, y) is dilated by a scale factor of k, what is the new point?

Back

The new point is (kx, ky).

Front

What happens to a figure when the scale factor is 1?

Back

When the scale factor is 1, the figure remains unchanged.

Front

What is the center of dilation?

Back

The center of dilation is the fixed point in the plane about which all points are expanded or contracted.

Front

If the point (4, 6) is dilated by a scale factor of ½, what are the coordinates of the new point?

Back

The new coordinates are (2, 3).

Front

Is a dilation with a scale factor of ¼ an enlargement or a reduction?

Back

It is a reduction.

Front

True or False: A dilation with a scale factor greater than 1 is a reduction.

Back

False.

Front

What are the coordinates of a triangle's vertices after a dilation of scale factor 2 from the origin if the original vertices are (1, 2), (3, 4), and (5, 6)?

Back

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

Front

What is the algebraic representation of a dilation with a scale factor of 3?

Back

The representation is (x, y) → (3x, 3y).