Dilation Transformations Flashcard

Front

What is a dilation transformation?

Back

A dilation transformation is a geometric operation that alters the size of a figure while maintaining its shape, using a scale factor.

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of the length of the image to the corresponding length of the original figure.

Front

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

Back

An enlargement occurs when the scale factor is greater than 1.

Front

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

Back

A reduction occurs when the scale factor is less than 1.

Front

How do you find the image of a point after dilation?

Back

To find the image of a point after dilation, multiply the coordinates of the original point by the scale factor.

Front

What is the image of point A(2, 3) after a dilation with a scale factor of 2?

Back

A' (4, 6) is the image of point A(2, 3) after dilation with a scale factor of 2.

Front

What is the image of point B(4, 5) after a dilation with a scale factor of 1/2?

Back

B' (2, 2.5) is the image of point B(4, 5) after dilation with a scale factor of 1/2.

Front

What is the center of dilation?

Back

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

Front

What happens to the angles of a figure during dilation?

Back

The angles of a figure remain unchanged during dilation.

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 3?

Back

The new coordinates are (3, 6), (9, 12), and (15, 18) after dilation with a scale factor of 3.