Segment Addition Postulate

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 AB = 5 and BC = 3, what is AC?

Back

AC = AB + BC = 5 + 3 = 8.

Front

Write an equation using the Segment Addition Postulate for segments AB, BC, and AC where AB = 2x + 3, BC = x + 4, and AC = 10.

Back

2x + 3 + x + 4 = 10.

Front

If AB = 2x + 5 and AC = 15, what is BC if B is between A and C?

Back

BC = AC - AB = 15 - (2x + 5) = 10 - 2x.

Front

What does it mean for point B to be between points A and C in the context of segments?

Back

It means that the length of segment AB plus the length of segment BC equals the length of segment AC.

Front

If AB = 6 and AC = 12, what is BC?

Back

BC = AC - AB = 12 - 6 = 6.

Front

Write an equation for segments where AB = 4x - 1, BC = 2x + 3, and AC = 15.

Back

4x - 1 + 2x + 3 = 15.

Front

If AB = 3 and BC = 7, what is AC?

Back

AC = AB + BC = 3 + 7 = 10.

Front

What is the relationship between the lengths of segments in the Segment Addition Postulate?

Back

The lengths of the segments must add up to equal the total length of the segment that encompasses them.

Front

If AB = 2 and AC = 10, what is BC?

Back

BC = AC - AB = 10 - 2 = 8.