Midpoint & Distance

Front

What is the Midpoint Formula?

Back

The Midpoint Formula is used to find the midpoint (M) of a line segment between two points (x1, y1) and (x2, y2). It is given by M = ((x1 + x2)/2, (y1 + y2)/2).

Front

How do you calculate the distance between two points?

Back

The distance (d) between two points (x1, y1) and (x2, y2) is calculated using the Distance Formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

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

Back

The distance is 5 units.

Front

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

Back

The midpoint is (3, 5).

Front

Define a line segment.

Back

A line segment is a part of a line that is bounded by two distinct endpoints.

Front

What is the significance of the midpoint in geometry?

Back

The midpoint divides a line segment into two equal parts.

Front

If a point A is at (1, 2) and point B is at (5, 6), what is the midpoint?

Back

The midpoint is (3, 4).

Front

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

Back

The distance is approximately 4.24 units.

Front

How do you find the length of the diagonal of a rectangle?

Back

Use the Pythagorean theorem: diagonal = √(length² + width²).

Front

What is the diagonal length of a rectangle with length 100 yards and width 50 yards?

Back

The diagonal length is 111.8 yards.