Dilations and Slope

Front

What is a dilation in geometry?

Back

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. It is defined by a scale factor.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In dilations, it determines how much larger or smaller the image will be compared to the original.

Front

If the scale factor is 2, what happens to the size of the image?

Back

The image will be twice the size of the original.

Front

If the scale factor is 1/2, what happens to the size of the image?

Back

The image will be half the size of the original.

Front

How do you calculate the length of a line segment after dilation?

Back

Multiply the original length by the scale factor.

Front

What is the formula for finding the slope of a line?

Back

Slope (m) = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.