Find Slope with Similar Triangles

Front

What is the slope of a line?

Back

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

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does it mean for triangles to be similar?

Back

Similar triangles have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

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

Back

The slopes of corresponding sides of similar triangles are equal.

Front

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

Back

The slope of the hypotenuse of one similar triangle is equal to the slope of the hypotenuse of the other similar triangle.

Front

How can you express the slope of a line segment in terms of coordinates?

Back

Front

What is a slope triangle?

Back

A slope triangle is a right triangle formed by the rise and run of a line segment, used to visually represent the slope.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no rise over the run.