Flashcard: Distance & Midpoint Formulas

Front

What is the midpoint formula?

Back

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

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 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

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

Back

5.0

Front

What is the significance of the origin in a coordinate grid?

Back

The origin is the point (0, 0) where the x-axis and y-axis intersect. It serves as the reference point for all other points in the coordinate system.

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 between the points (0, 0) and (3, 4)?

Back

5.0

Front

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

Back

(0, 0)

Front

What is the distance between the points (-1, -1) and (2, 2)?

Back

4.24 (rounded to two decimal places) or √(18).

Front

How do you determine if two points are the same?

Back

Two points are the same if their coordinates are identical, meaning (x1, y1) = (x2, y2).