Similar Triangles and Slope

Front

What is the definition of slope in a triangle?

Back

The slope of a triangle is the ratio of the vertical change (rise) to the horizontal change (run) between two points on the triangle.

Front

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

Back

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

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 -1/2, what is the slope of triangle DEF if they are similar?

Back

The slope of triangle DEF is also -1/2.

Front

Calculate the slope of the line passing through points (6,7) and (4,2).

Back

Slope = (2 - 7) / (4 - 6) = 5/2.

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 the slope of a line is positive, what does that indicate about the line's direction?

Back

A positive slope indicates that the line rises from left to right.

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that the line falls from left to right.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.