Similar Triangles and Slope

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 vertical change (rise) to the horizontal change (run) between two points on the line.

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as you move from left to right along the line, the line rises.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as you move from left to right along the line, the line falls.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Tags

CCSS.8.EE.B.5

Front

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

Back

The slopes of corresponding sides of similar triangles are equal.

Tags

CCSS.8.EE.B.6

Front

How can you determine if two lines are parallel using slopes?

Back

Two lines are parallel if they have the same slope.

Tags

CCSS.8.EE.B.6

Front

How can you determine if two lines are perpendicular using slopes?

Back

Two lines are perpendicular if the product of their slopes is -1.

Tags

CCSS.8.EE.B.6

Front

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

Back

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

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6