Midpoint and Distance Formula

Front

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

Back

The distance formula is d = √((x2 - x1)² + (y2 - y1)²).

Front

How do you find the midpoint between two points (x1, y1) and (x2, y2)?

Back

The midpoint is found using the formula M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the distance between the points (4, 3) and (2, -3)?

Back

The distance is √((2 - 4)² + (-3 - 3)²) = √(4 + 36) = √40.

Front

What is the perimeter of a rectangle with vertices at (-2,-1), (4,-1), (4,-3), and (-2,-3)?

Back

The perimeter is 2(length + width) = 2(6 + 2) = 16.

Front

What is the distance between the points (3, 8) and (-2, -4)?

Back

The distance is √((-2 - 3)² + (-4 - 8)²) = √(25 + 144) = √169 = 13.

Front

What is the formula for calculating the perimeter of a rectangle?

Back

The perimeter P of a rectangle is given by P = 2(length + width).

Front

If the coordinates of point A are (x1, y1) and point B are (x2, y2), how do you calculate the distance between them?

Back

Use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the significance of the midpoint in geometry?

Back

The midpoint divides a line segment into two equal parts and is used in various geometric constructions.

Front

How do you determine the coordinates of the midpoint between (3, -1) and (7, -5)?

Back

Using the midpoint formula: M = ((3 + 7)/2, (-1 - 5)/2) = (5, -3).

Front

What is the distance between the points (1, 1) and (4, 5)?

Back

The distance is √((4 - 1)² + (5 - 1)²) = √(9 + 16) = √25 = 5.