Distance & Midpoint Formula

Front

What is the midpoint formula?

Back

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

Front

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

Back

(-1, 13)

Front

Find the midpoint of the segment with the endpoints: (1, 7) and (9, 0)

Back

(5, 3.5)

Front

Find the midpoint of the segment with the endpoints: (6, 7) and (6, -5)

Back

(6, 1)

Front

What is the distance formula?

Back

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

Front

Find the distance between the points (-5, 3) and (4, -5)

Back

Square root of 145

Front

What is the significance of the midpoint in geometry?

Back

The midpoint divides a line segment into two equal parts and is often used in various geometric constructions.

Front

If the coordinates of a point are (x, y), what does the x-coordinate represent?

Back

The x-coordinate represents the horizontal position of the point on the Cartesian plane.

Front

If the coordinates of a point are (x, y), what does the y-coordinate represent?

Back

The y-coordinate represents the vertical position of the point on the Cartesian plane.

Front

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

Back

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