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

Back

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

Front

If AB = 2 and B is between A and C, what is the length of AC if BC = 3?

Back

AC = AB + BC = 2 + 3 = 5.

Front

Are segments AC and CB congruent if AC = 5 and CB = 4?

Back

No, segments AC and CB are not congruent because 5 ≠ 4.

Front

If B is between A and C and AB = 7, what is the length of AC if BC = 24?

Back

AC = AB + BC = 7 + 24 = 31.

Front

What does it mean for segments to be congruent?

Back

Segments are congruent if they have the same length.

Front

If AB = 4 and AC = 12, what is the length of BC?

Back

BC = AC - AB = 12 - 4 = 8.

Front

If B is between A and C, and AC = 10, what could be the possible lengths of AB and BC?

Back

AB and BC could be any pair of positive numbers that add up to 10.

Front

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

Back

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

Front

If AC = 15 and AB = 10, what is the length of BC?

Back

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