Practice #5: Distance on the Coordinate Plane

Front

What is the formula to calculate the distance between two points on the coordinate plane?

Back

The distance d between two points (x1, y1) and (x2, y2) is given by the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the distance between the points (5, 3) and (5, 8)?

Back

5 units.

Front

What is the distance between the points (5, 6) and (5, 8)?

Back

2 units.

Front

How do you determine the vertical distance between two points with the same x-coordinate?

Back

The vertical distance is the absolute difference between their y-coordinates.

Front

What is the distance between the points (0, 6) and (0, -4)?

Back

10 units.

Front

What is the vertical distance between the points C (2, -8) and D (2, -6)?

Back

2 units.

Front

If two points have the same y-coordinate, what does that imply about their distance?

Back

The distance between them is purely horizontal and can be calculated using the absolute difference of their x-coordinates.

Front

What is the significance of the distance formula in real-world applications?

Back

The distance formula is used in various fields such as navigation, architecture, and computer graphics to calculate the distance between points.

Front

How can you find the distance between points in a vertical line?

Back

By taking the absolute difference of their y-coordinates.

Front

What is the distance between the points (3, 4) and (3, 10)?

Back

6 units.