Distance and Midpoint Formulas

Front

What is the Distance Formula used to find the distance between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

What is the Midpoint Formula used to find the midpoint between two points (x1, y1) and (x2, y2)?

Back

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

Front

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

Back

5

Front

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

Back

(3, 5)

Front

What does the Distance Formula represent in a coordinate plane?

Back

It represents the straight-line distance between two points.

Front

What does the Midpoint Formula represent in a coordinate plane?

Back

It represents the point that is exactly halfway between two points.

Front

Find the distance between the points (3, 4) and (3, 0).

Back

4

Front

Find the midpoint of the segment with endpoints (0, 0) and (10, 10).

Back

(5, 5)

Front

If the distance between points A(2, 3) and B(x, 7) is 5, what is the value of x?

Back

x = 6 or x = -2

Front

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

Back

√(18) or approximately 4.24