Geometry A 1.3 Distance and Midpoint

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

What is the formula to find the midpoint of a segment with endpoints (x1, y1) and (x2, y2)?

Back

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

Front

Find the distance of points J(1, 2) and K(4, 6).

Back

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

Front

Find the midpoint of points T(2, 3) and U(4, 7).

Back

Midpoint = ((2 + 4)/2, (3 + 7)/2) = (3, 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

Find the midpoint of points M(1, 1) and P(3, 3).

Back

Midpoint = ((1 + 3)/2, (1 + 3)/2) = (2, 2)

Front

What does the distance formula represent in geometry?

Back

It represents the length of the straight line between two points in a coordinate plane.

Front

If the distance between two points is negative, what does it indicate?

Back

Distance cannot be negative; it indicates an error in calculation.

Front

Find the distance of points J(-1, -1) and L(2, 2).

Back

Distance = √((2 - (-1))² + (2 - (-1))²) = √(9 + 9) = √18 = 3√2

Front

What is the significance of the midpoint in geometry?

Back

The midpoint divides a segment into two equal parts.