Distance on the coordinate plane

Front

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

Back

The distance formula is: 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 units.

Front

If two points have the same x-coordinate, what does that indicate about their position on the coordinate plane?

Back

It indicates that the points are vertically aligned.

Front

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

Back

The distance is 4 units.

Front

How does the distance between two points change if one point is moved horizontally?

Back

The distance changes based on the horizontal displacement, calculated using the distance formula.

Front

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

Back

The distance is approximately 5.66 units.

Front

What does it mean if the distance between two points is zero?

Back

It means that the two points are the same point.

Front

How do you find the distance between two points on a vertical line?

Back

Use the absolute difference of their y-coordinates.

Front

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

Back

The distance is 6 units.

Front

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

Back

It is used to calculate the straight-line distance between two locations in various fields such as navigation, architecture, and physics.