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 does the scale factor in a dilation represent?

Back

The ratio by which the dimensions of a figure are multiplied during a dilation.

Front

If a line is dilated by a scale factor greater than 1, what happens to the line?

Back

The line becomes longer and moves away from the center of dilation.

Front

If a line is dilated by a scale factor less than 1, what happens to the line?

Back

The line becomes shorter and moves closer to the center of dilation.

Front

What remains unchanged during a line dilation?

Back

The slope of the line remains unchanged.

Front

What changes in a line after dilation?

Back

The y-intercept of the line may change.

Front

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

Back

Apply the scale factor to the coordinates of points on the line, using the center of dilation.

Front

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

Back

The image line is parallel to the original line.

Front

What is the equation of a line in slope-intercept form?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine the new y-intercept after dilation?

Back

Calculate the new y-intercept by applying the scale factor to the original y-intercept.