Slope & Dilations

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What are similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size; their corresponding angles are equal and their sides are proportional.

Front

If two figures are similar, what can be said about their angles?

Back

If two figures are similar, their angles are congruent.

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but maintains its shape, using a scale factor.

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of the length of a side of the dilated figure to the length of the corresponding side of the original figure.