Slope and Similar Triangles

Front

What is the definition of slope in a triangle?

Back

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

Front

How do you calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

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

Back

The slope is 3.

Front

If a line has a slope of 0.5, what does this indicate about its steepness?

Back

The line rises 0.5 units for every 1 unit it runs, indicating a gentle slope.

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

If triangle ABC has a slope of 3, what can you infer about the angle of elevation?

Back

A slope of 3 indicates a steep angle of elevation.

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

If triangle DEF has a slope of 1, what does this tell you about the angle?

Back

A slope of 1 indicates a 45-degree angle of elevation.

Front

How can you determine if two triangles are similar using their slopes?

Back

If the slopes of corresponding sides are equal, the triangles are similar.