Test 2 - Dilations (7.1)

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 in a dilation represent?

Back

The scale factor indicates how much the figure will be enlarged or reduced. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

If a quadrilateral is dilated with a scale factor of 4, what happens to its dimensions?

Back

All dimensions of the quadrilateral are multiplied by 4, making it four times larger.

Front

What are the coordinates of point B after a dilation of scale factor 4 at the origin if B is at (-3, 0)?

Back

The new coordinates B' will be (-12, 0).

Front

How do you determine if a figure has been dilated?

Back

You can compare the dimensions and coordinates of the original figure and the image. If the dimensions are proportional and the shape remains the same, it has been dilated.

Front

Back

Front

What mathematical operation is used with the scale factor in dilations?

Back

Multiplication is used with the scale factor to determine the new coordinates of the figure.

Front

Back

The new coordinates will be A'(1, 1), B'(2, 2), and C'(3, 3).

Front

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

Back

The new coordinates will be (kx, ky).

Front

Can a dilation change the shape of a figure?

Back

No, a dilation does not change the shape; it only changes the size.