Slope with Similar Triangles

Front

What is the definition of slope in the context of a triangle?

Back

Slope is the ratio of the vertical change (rise) to the horizontal change (run) between two points on a line.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

How do you determine the slope of a line segment in a triangle?

Back

The slope can be calculated using the formula: slope = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the endpoints.

Front

If triangle DEF is similar to triangle GHI, what can be said about their slopes?

Back

The slopes of the corresponding sides of similar triangles are equal.

Front

What is the slope of a line that rises 3 units for every 1 unit it runs?

Back

The slope is 3.

Front

What is the slope of a line that falls 2 units for every 4 units it runs?

Back

The slope is -1/2.

Front

How can you express the slope of a line in fraction form?

Back

Slope can be expressed as rise/run, which is a fraction representing the vertical change over the horizontal change.

Front

What is the relationship between the slopes of the hypotenuses of similar triangles?

Back

The slopes of the hypotenuses of similar triangles are equal.

Front

If the slope of line AB is 2, what does this indicate about the steepness of the line?

Back

A slope of 2 indicates that for every 1 unit the line runs horizontally, it rises 2 units vertically, making it steep.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.