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: 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: M = ((x1 + x2)/2, (y1 + y2)/2).

Front

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

Back

The distance is 5 units.

Front

Find the midpoint of the segment with endpoints (2, 3) and (4, 7).

Back

The midpoint is (3, 5).

Front

What is the significance of the midpoint in geometry?

Back

The midpoint divides a line segment into two equal parts.

Front

How do you calculate the perimeter of a triangle given its vertices?

Back

Add the lengths of all three sides, which can be calculated using the Distance Formula.

Front

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

Back

The distance is 5 units.

Front

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

Back

The midpoint is (5, -3).

Front

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

Back

The distance is 5 units.

Front

Find the midpoint of the segment with endpoints (10, 10) and (20, 20).

Back

The midpoint is (15, 15).