Distance and Midpoint Formula

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 is the midpoint formula for two endpoints (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

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

Find the midpoint of the points (2, 3) and (4, 7).

Back

Midpoint = ((2 + 4)/2, (3 + 7)/2) = (3, 5)

Front

What is the distance between the points (0, 0) and (6, 8)?

Back

Distance = √((6 - 0)² + (8 - 0)²) = √(36 + 64) = √100 = 10

Front

If the distance between two points is 10 and one point is (2, 3), what could be the coordinates of the other point?

Back

Possible points include (2 + 10, 3) = (12, 3) or (2 - 10, 3) = (-8, 3) or (2, 3 + 10) = (2, 13) or (2, 3 - 10) = (2, -7) etc.

Front

Simplify the expression √50.

Back

√50 = √(25 * 2) = 5√2

Front

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

Back

Distance = √((3 - (-1))² + (3 - (-1))²) = √(16 + 16) = √32 = 4√2

Front

Find the midpoint of the points (1, 2) and (5, 6).

Back

Midpoint = ((1 + 5)/2, (2 + 6)/2) = (3, 4)

Front

What is the distance between the points (10, 10) and (10, 20)?

Back

Distance = √((10 - 10)² + (20 - 10)²) = √(0 + 100) = √100 = 10