Distance formulas

Front

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

Back

The distance formula is: d = √((x2 - x1)² + (y2 - y1)²)

Front

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

Back

The midpoint formula is: M = ((x1 + x2)/2, (y1 + y2)/2)

Front

Calculate the distance between the points (1, 2) and (4, 6).

Back

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

Front

If point A is at (2, 3) and point B is at (8, 7), what is the midpoint?

Back

M = ((2 + 8)/2, (3 + 7)/2) = (5, 5)

Front

What is the distance between the points (0, 0) and (3, 4)?

Back

d = √((3 - 0)² + (4 - 0)²) = √(9 + 16) = √25 = 5.

Front

Find the midpoint of the line segment connecting (6, 8) and (2, 4).

Back

M = ((6 + 2)/2, (8 + 4)/2) = (4, 6)

Front

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

Back

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

Front

If point M is the midpoint of A(1, 2) and B(x, y), what is the relationship between M and A?

Back

M = ((1 + x)/2, (2 + y)/2) implies x = 2M - 1 and y = 2M - 2.

Front

Calculate the distance between the points (3, 4) and (3, 10).

Back

d = √((3 - 3)² + (10 - 4)²) = √(0 + 36) = 6.

Front

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

Back

d = √((5 - 5)² + (5 - 5)²) = √(0 + 0) = 0.