Distance and Midpoint 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 for finding the midpoint between two points (x1, y1) and (x2, y2)?

Back

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

Front

If the distance between points A(1,2) and B(4,6) is calculated, what is the result?

Back

Distance = √((4 - 1)² + (6 - 2)²) = √(9 + 16) = √25 = 5.

Front

What is the distance between points A(0,0) and B(3,4)?

Back

Distance = √((3 - 0)² + (4 - 0)²) = √(9 + 16) = √25 = 5.

Front

If point M(3,4) is the midpoint of line segment AB and A(-1,6), what are the coordinates of point B?

Back

B = (2 * M - A) = (2*3 - (-1), 2*4 - 6) = (7,2).

Front

What is the distance between points A(2,3) and B(2,7)?

Back

Distance = √((2 - 2)² + (7 - 3)²) = √(0 + 16) = √16 = 4.

Front

How do you find the length of a diagonal cable attached to a flagpole using the height and distance from the base?

Back

Use the Pythagorean theorem: Length = √(height² + distance²).

Front

What is the distance between points A(-2, -3) and B(1, 1)?

Back

Distance = √((1 - (-2))² + (1 - (-3))²) = √(9 + 16) = √25 = 5.

Front

If the coordinates of point A are (2,3) and point B is (5,7), what is the midpoint?

Back

Midpoint = ((2 + 5)/2, (3 + 7)/2) = (3.5, 5).

Front

What is the distance between points A(1,1) and B(1,1)?

Back

Distance = √((1 - 1)² + (1 - 1)²) = √(0 + 0) = 0.