Segment Addition Postulate Introduction

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

If A, B, and C are points on a line, and B is between A and C, what can we say about the lengths of the segments?

Back

AB + BC = AC.

Front

Given points A, B, and C, if AB = 5 and BC = 7, what is AC?

Back

AC = AB + BC = 5 + 7 = 12.

Front

If JK = 7 and LJ = 20, how do you find KL?

Back

Use the Segment Addition Postulate: KL = LJ - JK = 20 - 7 = 13.

Front

In a line segment, if B is between A and C, and AC = 28, what could be the possible lengths of AB and BC?

Back

AB + BC = 28, where AB and BC can be any positive lengths that add up to 28.

Front

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

Back

A point is 'between' two other points if it lies on the line segment connecting them.

Front

If BC + CD = BD, what does this represent in terms of segments?

Back

This represents the Segment Addition Postulate, where B, C, and D are collinear points.

Front

If BC = 10 and CD = 15, what is BD?

Back

BD = BC + CD = 10 + 15 = 25.

Front

What is the relationship between the lengths of segments when a point is between two endpoints?

Back

The sum of the lengths of the two segments formed by the point equals the length of the segment connecting the endpoints.

Front

If AC = 22 and AB = 7, what is BC?

Back

BC = AC - AB = 22 - 7 = 15.