Midpoint and Distance

Front

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

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

Calculate the midpoint between (3, -1) and (7, -5).

Back

(5, -3)

Front

Calculate the distance between (3, -1) and (7, -5).

Back

6.3

Front

What is the distance between the points (-3, 5) and (1, 5)?

Back

4

Front

Find the distance between (-3, -11) and (8, -42).

Back

32.9

Front

If the midpoint of a segment is (4, 2) and one endpoint is (6, 4), what is the other endpoint?

Back

(2, 0)

Front

What does the distance between two points represent in a coordinate plane?

Back

The straight line length between the two points.

Front

How does the distance formula relate to the Pythagorean theorem?

Back

The distance formula is derived from the Pythagorean theorem.

Front

What is the significance of the midpoint in geometry?

Back

It divides a line segment into two equal parts.