Midpoint and distance formula

Front

What is the Midpoint Formula?

Back

The Midpoint Formula is used to find the midpoint (M) between two points (x1, y1) and (x2, y2) in a coordinate plane. It is given by: M = ((x1 + x2)/2, (y1 + y2)/2).

Front

How do you find the y-coordinate of the midpoint of a line segment?

Back

To find the y-coordinate of the midpoint, use the formula: (y1 + y2)/2, where y1 and y2 are the y-coordinates of the endpoints.

Front

What is the Distance Formula?

Back

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

Front

Find the midpoint of the points (2, 3) and (4, 5).

Back

Midpoint = ((2 + 4)/2, (3 + 5)/2) = (3, 4).

Front

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

Back

Distance = √((4 - 1)² + (5 - 1)²) = √(3² + 4²) = √(9 + 16) = √25 = 5.

Front

What is the significance of the Midpoint Formula in geometry?

Back

The Midpoint Formula helps in finding the center point of a line segment, which is useful in various geometric constructions and proofs.

Front

If the points are (3, 7) and (3, 1), what is the distance between them?

Back

Distance = |y2 - y1| = |1 - 7| = 6.

Front

How do you find the x-coordinate of the midpoint of a line segment?

Back

To find the x-coordinate of the midpoint, use the formula: (x1 + x2)/2, where x1 and x2 are the x-coordinates of the endpoints.

Front

What is the distance between the points (0, 0) and (0, 8)?

Back

Distance = |y2 - y1| = |8 - 0| = 8.

Front

Find the midpoint of the points (-2, -3) and (4, 5).

Back

Midpoint = ((-2 + 4)/2, (-3 + 5)/2) = (1, 1).