Slope and Similar Triangles

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in vertical distance (rise) over the change in horizontal distance (run).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing 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, showing a downward trend.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the formula for calculating slope?

Back

The formula for calculating slope (m) is 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 corresponding sides are in proportion.

Front

What is the Angle-Angle (AA) similarity criterion for triangles?

Back

The AA similarity criterion states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

How can you determine if two triangles are similar using side lengths?

Back

Two triangles are similar if the ratios of the lengths of their corresponding sides are equal.

Front

What is the relationship between slope and similar triangles?

Back

If two triangles are similar, the slopes of their corresponding sides will be equal.