Midpoint and distance formula review practice

Front

What is the midpoint formula?

Back

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

Front

Find the midpoint of the line segment with endpoints (1, 2) and (3, 4).

Back

(2, 3)

Front

What is the distance formula?

Back

The distance formula is given by: d = √((x2 - x1)² + (y2 - y1)²). It calculates the distance d between two points (x1, y1) and (x2, y2).

Front

Find the distance between the points (3, 4) and (6, 8).

Back

5

Front

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

Back

5

Front

If the distance between two points is 10 and one point is (2, 3), what could be the coordinates of the other point?

Back

(2 ± 10, 3) or (2, 3 ± 10) leading to (12, 3), (-8, 3), (2, 13), (2, -7).

Front

What is the significance of the distance formula in geometry?

Back

The distance formula is used to determine the length of a line segment between two points in a coordinate plane.

Front

Find the distance between the points (-1, -1) and (2, 3).

Back

√((2 - (-1))² + (3 - (-1))²) = √(3² + 4²) = √(9 + 16) = √25 = 5.

Front

What is the midpoint of the line segment with endpoints (4, 6) and (8, 10)?

Back

(6, 8)

Front

What is the distance between the points (5, 5) and (5, 10)?

Back

5