Line Dilations

Front

What is a line dilation?

Back

A transformation that alters the size of a line segment while maintaining its shape and orientation, centered at a specific point.

Front

What is the scale factor in a dilation?

Back

The ratio that describes how much a figure is enlarged or reduced during a dilation.

Front

If a line segment is 3 inches long and is dilated by a scale factor of 6, what is the length of the image?

Back

18 inches.

Front

How do you find the scale factor when given the original and dilated lengths?

Back

Divide the length of the image by the length of the original segment.

Front

What happens to the slope of a line when it is dilated?

Back

The slope remains the same; only the position and length of the line change.

Front

What is the effect of dilation on the y-intercept of a line?

Back

The y-intercept may change depending on the scale factor and center of dilation.

Front

If a line passes through points (1,1) and (5,7), what can be said about its image after dilation?

Back

The image of the line will be parallel to the original line.

Front

What is the relationship between the original line and its image after dilation centered at the origin?

Back

The image will maintain the same slope as the original line.

Front

In a dilation, what does the center of dilation refer to?

Back

The fixed point around which the dilation occurs.

Front

If a line's equation is 3x – 5y = 4, what happens to its slope after dilation?

Back

The slope remains the same, but the y-intercept may change.