1.2 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

How do you find the length of a segment on a number line?

Back

To find the length of a segment on a number line, subtract the smaller coordinate from the larger coordinate.

Front

If the coordinates of point A are -3 and point B are -7, what is the distance between them?

Back

The distance between points A and B is 4 units.

Front

In the equation BC + CD = BD, what do BC, CD, and BD represent?

Back

BC and CD are the lengths of segments, and BD is the total length of the segment from B to D.

Front

If QT = 10 and QS = 7, what is the length of ST?

Back

ST = QT - QS = 10 - 7 = 3.

Front

What is the formula to calculate the distance between two points on a number line?

Back

Distance = |x2 - x1|, where x1 and x2 are the coordinates of the two points.

Front

What does it mean for point B to be between points A and C?

Back

Point B is between points A and C if the distance from A to B plus the distance from B to C equals the distance from A to C.

Front

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

Back

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

Front

How can you verify the Segment Addition Postulate with a diagram?

Back

You can verify it by measuring the lengths of the segments and checking if the sum of the smaller segments equals the total segment.

Front

What is the significance of the Segment Addition Postulate in geometry?

Back

It is fundamental for solving problems involving lengths of segments and is used in proofs and constructions.