Similar Triangles and Slope

Front

What are similar triangles?

Back

Triangles that have the same shape but may have different sizes. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the definition of slope?

Back

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

Front

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

Back

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The ratios of their corresponding sides are equal.

Front

What is the slope of a line that rises 3 units for every 2 units it runs?

Back

Front

What is the relationship between the slopes of two parallel lines?

Back

The slopes of two parallel lines are equal.

Front

What is the relationship between the slopes of two perpendicular lines?

Back

The slopes of two perpendicular lines are negative reciprocals of each other.

Front

If triangle ABC is similar to triangle DEF, and the slope of line AB is 2, what is the slope of line DE?

Back

The slope of line DE is also 2, since corresponding sides of similar triangles have the same slope.