Segment Addition

Front

What is the Segment Addition Postulate?

Back

The Segment Addition Postulate states that if point B is between points A and C, then AB + BC = AC.

Front

Define midpoint in the context of a line segment.

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

If B is between A and C, and AB = 12 and BC = 16, what is AC?

Back

AC = AB + BC = 12 + 16 = 28.

Front

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

Back

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

Front

If the length of segment AB is 30 and point C divides it into two segments AC and CB, with AC = 10, what is CB?

Back

CB = AB - AC = 30 - 10 = 20.

Front

What does it mean for points to be collinear?

Back

Collinear points are points that lie on the same straight line.

Front

If segment AB is 40 units long and point C is the midpoint, what is the length of AC?

Back

AC = 20 units, since C is the midpoint.

Front

In a line segment, if one part is 3 times the length of the other, and the total length is 40, what are the lengths of the two parts?

Back

Let x be the length of the shorter part. Then the longer part is 3x. x + 3x = 40, so x = 10 and 3x = 30.