5.1 Distance and Midpoint

Front

What is the formula to find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

Back

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

Front

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

Back

Midpoint = (-1, 13)

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 (-12, 1) and (12, -1).

Back

Distance = 24.08

Front

What is the distance between the points (-4, 5) and (7, 18)?

Back

Distance = 17.03

Front

If the midpoint of a segment is (0, 9) and one endpoint is (9, 8), how do you find the other endpoint?

Back

Use the formula: Other endpoint = (2 * midpoint - endpoint)

Front

Find the other endpoint of the line segment with endpoint (9, 8) and midpoint (0, 9).

Back

Other endpoint = (-9, 10)

Front

What is the significance of the midpoint in geometry?

Back

The midpoint divides a line segment into two equal parts.

Front

How do you determine if two points are the same distance from the origin?

Back

Calculate the distance from the origin using the distance formula for both points.

Front

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

Back

Distance = 4