Dilations Flashcard

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape, either enlarging or reducing it.

Front

What is the scale factor in a dilation?

Back

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

Front

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

Back

The new coordinates will be (kx, ky).

Front

What happens to the coordinates of a point when it is dilated by a scale factor of 1?

Back

The coordinates remain the same; the point does not change.

Front

What is the result of dilating the point (2, 3) by a scale factor of 2?

Back

The new coordinates will be (4, 6).

Front

What is the result of dilating the point (4, -1) by a scale factor of 1/2?

Back

The new coordinates will be (2, -0.5).

Front

In a dilation, what mathematical operation is used with the scale factor?

Back

Multiplication.

Front

What is the effect of a scale factor greater than 1 in a dilation?

Back

It enlarges the figure.

Front

What is the effect of a scale factor between 0 and 1 in a dilation?

Back

It reduces the figure.

Front

If triangle ABC has vertices A(2, 3), B(4, 5), and C(6, 7), what are the coordinates of A' after a dilation by a scale factor of 3?

Back

A'(6, 9).