5.2 Flashcardizz. Dilations on the Coordinate Plane

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 is the scale factor in a dilation?

Back

The scale factor is a number that scales, or multiplies, the distance from the center of dilation to each point of the figure.

Front

How do you calculate the coordinates of a dilated point?

Back

To find the coordinates of a dilated point, multiply the original coordinates by the scale factor.

Front

If a triangle has vertices (2,0), (3,-1), and (-2,-5) and is dilated by a scale factor of 3, what are the new coordinates?

Back

The new coordinates are (6,0), (9,-3), and (-6,-15).

Front

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

Back

The figure undergoes an enlargement, making it larger than the original.

Front

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

Back

The figure undergoes a reduction, making it smaller than the original.

Front

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

Back

A scale factor of 1 means the figure remains unchanged in size.

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 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 Point B is at (0,4) and is dilated by a scale factor of 3, what are the new coordinates?

Back

The new coordinates are (0,12).