Distance and Midpoint

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

What is the midpoint formula for finding the midpoint between two points (x1, y1) and (x2, y2)?

Back

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

Front

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

Back

The distance is 5.

Front

What is the distance between the points (-3, -4) and (1, 2)?

Back

The distance is √(52) or approximately 7.07.

Front

Find the midpoint of the points (2, 3) and (8, 7).

Back

The midpoint is (5, 5).

Front

If the distance between two points is 10, what could be one possible pair of points?

Back

One possible pair of points could be (0, 0) and (6, 8).

Front

What is the distance between the points (0, 0) and (0, 5)?

Back

The distance is 5.

Front

How do you round the distance to the nearest tenth?

Back

Look at the hundredths place; if it's 5 or more, round up.

Front

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

Back

The distance is 0.

Front

What is the significance of the distance formula in geometry?

Back

It allows us to determine how far apart two points are in a coordinate plane.