SRT.1 - Properties of Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but maintains its shape, using a center of dilation and a scale factor.

Front

What does the scale factor in a dilation represent?

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 happens to the figure?

Back

The figure enlarges.

Front

If the scale factor is between 0 and 1, what happens to the figure?

Back

The figure shrinks.

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

How does a dilation affect parallel lines?

Back

Dilations map parallel lines to parallel lines.

Front

What is the result of dilating a line segment?

Back

A dilated line segment will be a line segment that is parallel to the original line segment.

Front

What is the effect of a dilation with a scale factor of 1?

Back

A dilation with a scale factor of 1 results in no change; the figure remains the same size.

Front

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

Back

The new coordinates will be (kx, ky).

Front

What is the relationship between the original figure and its dilation?

Back

The original figure and its dilation are similar; they have the same shape but different sizes.