Segment Addition & Midpoint

Front

What is Segment Addition?

Back

Segment Addition is a principle that states if point B is between points A and C on a line segment, then AB + BC = AC.

Front

Define Midpoint.

Back

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

Front

If M is the midpoint of segment AB, what is the relationship between AM and MB?

Back

AM = MB; they are equal in length.

Front

How do you find the length of a segment given its endpoints A(x1, y1) and B(x2, y2)?

Back

Use the distance formula: Length = √((x2 - x1)² + (y2 - y1)²).

Front

What is a Segment Bisector?

Back

A segment bisector is a point, line, or plane that intersects a segment at its midpoint, dividing it into two equal parts.

Front

If OQ = 32 and PO = 4x, what is the value of x?

Back

x = 8.

Front

What does it mean for a point to be 'between' two other points on a line segment?

Back

It means that the point divides the segment into two smaller segments.

Front

If AB = 10 and BC = 5, what is AC?

Back

AC = AB + BC = 10 + 5 = 15.

Front

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

Back

Midpoint M = ((x1 + x2)/2, (y1 + y2)/2).

Front

If the coordinates of points A and B are (2, 3) and (4, 7), what is the midpoint?

Back

Midpoint M = ((2 + 4)/2, (3 + 7)/2) = (3, 5).