Midpoint and Distance Formula

Front

What is the midpoint formula?

Back

The midpoint formula is used to find the midpoint (M) of a line segment with endpoints (x1, y1) and (x2, y2). It is given by: M = ((x1 + x2)/2, (y1 + y2)/2).

Front

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

Back

(-1, 13)

Front

What is the distance formula?

Back

The distance formula is used to find the length (d) of a line segment with endpoints (x1, y1) and (x2, y2). It is given by: d = √((x2 - x1)² + (y2 - y1)²).

Front

Find the length of line segment AB given A(4, 3) and B(0, 6).

Back

5

Front

What is the length of JK, where J(4,3) and K(2, -3)?

Back

6.3

Front

What do you use to find the halfway point on a segment?

Back

Midpoint formula.

Front

What is the significance of the midpoint in geometry?

Back

The midpoint divides a line segment into two equal parts.

Front

If the endpoints of a segment are (x1, y1) and (x2, y2), how do you find the x-coordinate of the midpoint?

Back

x-coordinate of midpoint = (x1 + x2)/2.

Front

If the endpoints of a segment are (x1, y1) and (x2, y2), how do you find the y-coordinate of the midpoint?

Back

y-coordinate of midpoint = (y1 + y2)/2.

Front

What is the formula to find the length of a segment?

Back

Distance formula.