Midpoint and Distance Formula

Front

What is the distance formula used to calculate 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 finding the midpoint between 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 of the segment with endpoints (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

Find the midpoint of the segment with endpoints (10, 20) and (30, 40).

Back

Midpoint = ((10 + 30)/2, (20 + 40)/2) = (20, 30)

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

Calculate the midpoint of the segment with endpoints (5, 5) and (15, 15).

Back

Midpoint = ((5 + 15)/2, (5 + 15)/2) = (10, 10)

Front

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

Back

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

Front

Find the midpoint of the segment with endpoints (1, 1) and (3, 3).

Back

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