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

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

Back

To find the length of a segment given its endpoints A(x1, y1) and B(x2, y2), use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What does it mean for a point to be a midpoint of a segment?

Back

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

Front

If M is the midpoint of segment AB, and AM = 5, what is MB?

Back

MB = 5, because the midpoint divides the segment into two equal lengths.

Front

What is a segment bisector?

Back

A segment bisector is a line, ray, or segment that divides another segment into two equal parts.

Front

If AM = 4n - 40 and MB = 7(-2n + 2), how do you set up an equation to find n?

Back

Set up the equation: 4n - 40 = 7(-2n + 2).

Front

What is the definition of congruent segments?

Back

Congruent segments are segments that have the same length.

Front

How do you solve for x in an equation involving segment lengths?

Back

Isolate x on one side of the equation by using algebraic operations such as addition, subtraction, multiplication, or division.

Front

What is the relationship between the lengths of segments created by a bisector?

Back

The lengths of the segments created by a bisector are equal.

Front

If a segment is divided into three parts, how do you express the total length?

Back

If the segments are labeled as AB, BC, and CD, then the total length is AB + BC + CD.