1.2 Distance and Segment Addition

Front

What is the distance formula used to find the distance between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

What does the segment addition postulate state?

Back

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

Front

Calculate the distance between the points (3, 4) and (7, 1).

Back

Distance = √((7 - 3)² + (1 - 4)²) = √(16 + 9) = √25 = 5.

Front

What is the distance between the points (0, 0) and (5, 12)?

Back

Distance = √((5 - 0)² + (12 - 0)²) = √(25 + 144) = √169 = 13.

Front

If A(1, 2) and B(4, 6) are two points, what is the distance between them?

Back

Distance = √((4 - 1)² + (6 - 2)²) = √(9 + 16) = √25 = 5.

Front

What is the distance between the points (-1, -1) and (2, 3)?

Back

Distance = √((2 - (-1))² + (3 - (-1))²) = √(9 + 16) = √25 = 5.

Front

Using the segment addition postulate, if AB = 3 and BC = 4, what is AC?

Back

AC = AB + BC = 3 + 4 = 7.

Front

What is the distance between the points (6, -3) and (-2, 0)?

Back

Distance = √((-2 - 6)² + (0 - (-3))²) = √(64 + 9) = √73 ≈ 8.54.

Front

If the distance between points A and B is 10 and point C is between A and B, what could be the lengths of AC and CB?

Back

AC + CB = 10; Possible lengths could be AC = 4, CB = 6.

Front

What is the distance between the points (1, 1) and (1, 5)?

Back

Distance = √((1 - 1)² + (5 - 1)²) = √(0 + 16) = √16 = 4.