7.4: Find the Distance Between Two Points

Front

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

Back

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

Front

If Point A is at (2, 3) and Point B is at (5, 7), what is the distance between them?

Back

The distance is 5.0.

Front

What does rounding to the tenths place mean?

Back

Rounding to the tenths place means to round a number to one decimal place.

Front

If the distance between two points is 8.2, what is the approximate distance when rounded to the nearest whole number?

Back

The approximate distance is 8.

Front

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

Back

The distance is √(25) = 5.

Front

How do you calculate the distance between points on a coordinate plane?

Back

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

Front

What is the distance between the points (0, 0) and (3, 4)?

Back

The distance is 5.

Front

If the coordinates of Point J are (3, 4) and Point K are (7, 1), what is the distance between them?

Back

The distance is √((7-3)² + (1-4)²) = √(16 + 9) = √25 = 5.

Front

What is the significance of the distance formula in geometry?

Back

It allows us to determine the length of a line segment between two points in a coordinate system.

Front

If the distance between two points is represented as √34, what is the approximate value?

Back

The approximate value is 5.8.