Distance and Segment Addition

Front

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

Back

The distance between two points on a number line is the absolute value of the difference between their coordinates.

Front

Define Segment Addition Postulate.

Back

If point C is between points A and B, then AC + CB = AB.

Front

What is absolute value?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction.

Front

Calculate the distance between -3 and 4.

Back

The distance is 7, calculated as |-3 - 4| = 7.

Front

If A is at -2 and B is at 3, what is the distance AB?

Back

The distance AB is 5, calculated as |-2 - 3| = 5.

Front

True or False: The distance between -5 and 5 is 0.

Back

False.

Front

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

Back

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

Front

If C is between A and B, and AC = 4 and CB = 6, what is AB?

Back

AB = AC + CB = 4 + 6 = 10.

Front

What is the formula to find the distance between two points (x1, y1) and (x2, y2) in a coordinate plane?

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

Find the distance from Point A (1, 2) to Point B (4, 6).

Back

The distance is 5, calculated as √((4 - 1)² + (6 - 2)²) = √(9 + 16) = √25 = 5.