Midpoint and distance formula

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

What is the midpoint formula for two points (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 (-3, -4) and (1, 2)?

Back

Distance = √((1 - (-3))² + (2 - (-4))²) = √(16 + 36) = √52 = 2√13.

Front

What is the midpoint of the line segment joining points (0, 0) and (10, 10)?

Back

Midpoint = ((0 + 10)/2, (0 + 10)/2) = (5, 5)

Front

If the distance between two points is 10 units, what could be the coordinates of the points?

Back

Possible points could be (0, 0) and (10, 0) or (0, 0) and (0, 10).

Front

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

Back

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

Front

Find the midpoint between 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 (2, 3) and (2, 7)?

Back

Distance = √((2 - 2)² + (7 - 3)²) = √(0 + 16) = 4.