Distance and Midpoint Practice

Front

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

Back

d = √((x2 - x1)² + (y2 - y1)²)

Front

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

Back

Midpoint 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

Find the distance between the points (-3, -4) and (1, 2).

Back

d = √((1 - (-3))² + (2 - (-4))²) = √(16 + 36) = √52 ≈ 7.2

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

What is the midpoint between the points (2, 3) and (4, 7)?

Back

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

Front

Find the distance between the points (5, 5) and (5, 10).

Back

d = √((5 - 5)² + (10 - 5)²) = √(0 + 25) = 5

Front

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

Back

d = √((2 - (-1))² + (2 - (-1))²) = √(9 + 9) = √18 ≈ 4.24

Front

Calculate the midpoint between the points (6, 8) and (10, 12).

Back

Midpoint M = ((6 + 10)/2, (8 + 12)/2) = (8, 10)

Front

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

Back

d = √((3 - 3)² + (4 - 4)²) = √(0 + 0) = 0