Understanding Slope Triangles

Front

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

Back

Slope is a measure of the steepness of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if they have the same shape but may differ in size, meaning their corresponding angles are equal and their corresponding sides are in proportion.

Front

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

Back

The slope of triangle ABC is EQUAL TO the slope of triangle DEF.

Front

How do you calculate the slope of a line using slope triangles?

Back

To calculate the slope, divide the length of the vertical side (rise) by the length of the horizontal side (run) of the slope triangle.

Front

What is the formula for slope?

Back

Slope (m) = rise/run.

Front

If the rise is 3 units and the run is 4 units, what is the slope?

Back

The slope is 3/4.

Front

What is the significance of a slope of 0?

Back

A slope of 0 indicates a horizontal line, meaning there is no vertical change as you move along the line.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing, meaning as you move from left to right, the line goes down.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line is increasing, meaning as you move from left to right, the line goes up.

Front

What is the relationship between the slopes of parallel lines?

Back

The slopes of parallel lines are EQUAL.