Midpoint & Distance Formulas

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 midpoint between the points (2, 3) and (4, 7).

Back

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

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

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

Back

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

Front

What is the midpoint between (-4, 4) and (-2, 2)?

Back

Midpoint = (-3, 3)

Front

What is the midpoint between (3, -1) and (7, -5)?

Back

Midpoint = (5, -3)

Front

Find the midpoint of the segment with endpoints (4, 12) and (-6, 14).

Back

Midpoint = (-1, 13)

Front

What is the midpoint between (3, -1) and (8, -6)?

Back

Midpoint = (5.5, -3.5)

Front

If the midpoint of a segment is (2, 3) and one endpoint is (4, 5), what is the other endpoint?

Back

Other endpoint = (0, 1) because (2, 3) = ((4 + x) / 2, (5 + y) / 2) leads to x = 0 and y = 1.

Front

What is the significance of the midpoint in geometry?

Back

The midpoint divides a line segment into two equal parts.