Distance and Midpoint Formulas

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 (1, 2) and (4, 6).

Back

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

Front

Find the midpoint between the points (2, 3) and (8, 7).

Back

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

Front

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

Back

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

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).

Front

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

Back

Distance = √((2 - (-1))² + (3 - (-1))²) = √(3² + 4²) = √(9 + 16) = √25 = 5

Front

Find the midpoint of the line segment connecting the points (1, 1) and (3, 3).

Back

Midpoint = ((1 + 3)/2, (1 + 3)/2) = (2, 2)

Front

What is the distance between the points (5, 5) and (5, 10)?

Back

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

Front

If the coordinates of two points are (x1, y1) and (x2, y2), what does the distance formula represent?

Back

It represents the straight-line distance between the two points in a Cartesian plane.