Midpoint and Distance Formulas

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

What is the midpoint formula used to find the midpoint between two points (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Front

What is the distance between the points (3, 4) and (7, 1)?

Back

5

Front

What is the midpoint between the points (2, 3) and (4, 7)?

Back

(3, 5)

Front

If J is the midpoint of segment DK, what can be said about the lengths of DJ and JK?

Back

DJ = JK; they are equal.

Front

Calculate the distance between the points (-1, -1) and (2, 3).

Back

√((2 - (-1))² + (3 - (-1))²) = √(3² + 4²) = 5.

Front

What is the distance between the points (0, 0) and (5, 12)?

Back

13

Front

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

Back

(2, 3)

Front

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

Back

√((3 - (-3))² + (3 - (-3))²) = √(6² + 6²) = 6√2.

Front

If the coordinates of point A are (1, 2) and point B are (4, 6), what is the distance between A and B?

Back

5