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 between two points (x1, y1) and (x2, y2). It is given by: M = ((x1 + x2)/2, (y1 + y2)/2).

Front

How do you calculate the distance between two points?

Back

The Distance Formula is used to find the distance (d) between two points (x1, y1) and (x2, y2). It is given by: d = √((x2 - x1)² + (y2 - y1)²).

Front

Find the midpoint of the points (2, 4) and (6, 8).

Back

(4, 6) - Using the Midpoint Formula: M = ((2 + 6)/2, (4 + 8)/2).

Front

Find the distance between the points (1, 1) and (4, 5).

Back

5 - Using the Distance Formula: d = √((4 - 1)² + (5 - 1)²).

Front

What is the y-coordinate of the midpoint of the line segment from (3, 2) to (3, 6)?

Back

4 - Midpoint y-coordinate = (2 + 6)/2 = 4.

Front

If the midpoint of a line segment is (5, 3) and one endpoint is (3, 1), what is the other endpoint?

Back

(7, 5) - Using the Midpoint Formula to solve for the unknown endpoint.

Front

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

Back

5 - Using the Distance Formula: d = √((3 - 0)² + (4 - 0)²).

Front

Find the midpoint of the points (-2, -3) and (4, 1).

Back

(1, -1) - Using the Midpoint Formula: M = ((-2 + 4)/2, (-3 + 1)/2).

Front

What is the distance between the points (2, 2) and (2, 8)?

Back

6 - The x-coordinates are the same, so d = |8 - 2| = 6.

Front

If the distance between two points is 10 and one point is (1, 1), what could be a possible location for the other point?

Back

(1, 11) or (11, 1) or any point that is 10 units away from (1, 1).