Distance and Midpoint Formulas

Front

What is the Distance Formula?

Back

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

Front

What is the Midpoint Formula?

Back

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

Front

Calculate the distance between the points (1, 2) and (4, 6).

Back

The distance is 5 units.

Front

Calculate the midpoint between the points (2, 3) and (4, 7).

Back

The midpoint is (3, 5).

Front

What does the variable 'd' represent in the Distance Formula?

Back

The variable 'd' represents the distance between two points.

Front

What do the variables (x1, y1) and (x2, y2) represent in the Distance Formula?

Back

They represent the coordinates of the two points in the coordinate plane.

Front

If the coordinates of point A are (2, 3) and point B are (8, 7), what is the distance between them?

Back

The distance is 7.21 units.

Front

What is the significance of the Midpoint Formula in geometry?

Back

The Midpoint Formula helps in finding the center point between two points, which is useful in various geometric constructions.

Front

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

Back

The distance is 5.66 units.

Front

If M(3, -1) and N(7, -5) are two points, what is the midpoint?

Back

The midpoint is (5, -3).