Study guide

Front

What is the formula to find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

Back

The midpoint M is given by M = ((x1 + x2)/2, (y1 + y2)/2).

Front

Calculate the distance between the points (x1, y1) and (x2, y2).

Back

Front

What is the distance between the points (3, 8) and (-2, -4)?

Back

The distance is 13.

Front

If B is between A and C on a number line, how do you find the value of B if A = 4 and C = 12?

Back

B = (A + C)/2 = (4 + 12)/2 = 8.

Front

What is the definition of a line segment?

Back

A line segment is a part of a line that is bounded by two distinct endpoints.

Front

What is the definition of a midpoint?

Back

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

Front

What is the distance formula in a coordinate plane?

Back

Front

How do you find the length of a line segment given its endpoints?

Back

Front

What is the significance of the distance formula in geometry?

Back

It allows us to calculate the straight-line distance between two points in a coordinate system.

Front

What does it mean for point B to be between points A and C?

Back

It means that the value of B lies on the line segment connecting A and C.