Midpoint Formula from Graphs

Front

What is the Midpoint Formula?

Back

The Midpoint Formula is used to find the midpoint (M) of a line segment connecting two points (x1, y1) and (x2, y2). It is given by: M = ((x1 + x2)/2, (y1 + y2)/2).

Front

How do you find the x-coordinate of the midpoint?

Back

To find the x-coordinate of the midpoint, use the formula: x-coordinate = (x1 + x2)/2.

Front

How do you find the y-coordinate of the midpoint?

Back

To find the y-coordinate of the midpoint, use the formula: y-coordinate = (y1 + y2)/2.

Front

What is the midpoint of the line segment connecting (-2, 6) and (4, 14)?

Back

(1, 10)

Front

What is the midpoint of the line segment connecting (0, 0) and (6, 8)?

Back

(3, 4) - calculated as ((0 + 6)/2, (0 + 8)/2).

Front

If Point A is (-4, 3) and Point B is (4, 3), what is the midpoint?

Back

(0, 3) - calculated as ((-4 + 4)/2, (3 + 3)/2).

Front

What is the significance of the midpoint in geometry?

Back

The midpoint divides a line segment into two equal parts and is equidistant from both endpoints.

Front

If the midpoint of a segment is (2, 5) and one endpoint is (4, 7), what is the other endpoint?

Back

(0, 3) - calculated by solving the equations: 2 = (4 + x)/2 and 5 = (7 + y)/2.

Front

What is the distance between the points (-2, 6) and (4, 14)?

Back

The distance is approximately 10.77 units, calculated using the distance formula.

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²).