Midpoint and Distance

Front

What is the definition of midpoint in geometry?

Back

The midpoint is the point that divides a line segment into two equal parts.

Tags

CCSS.HSG.GPE.B.6

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Tags

CCSS.HSG.GPE.B.7

Front

What is the slope of a line?

Back

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

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of 2/3, what is the slope of a line perpendicular to it?

Back

The slope of a perpendicular line is the negative reciprocal, which is -3/2.

Tags

CCSS.8.EE.B.6

Front

If a line has a slope of -1/2, what is the slope of a line parallel to it?

Back

The slope of a parallel line is the same, which is -1/2.

Tags

CCSS.8.EE.B.5

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

Slope = (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 the line rises as it moves from left to right.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line?

Back

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

Tags

CCSS.8.EE.B.5