6.3 Distance Between Points

Front

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

Back

The distance is 6 units.

Front

How does reflecting a point across the Y-axis affect its coordinates?

Back

The X-coordinate changes sign, while the Y-coordinate remains the same.

Front

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

Back

The distance is √(50) or approximately 7.07 units.

Front

When reflecting a point across the X-axis, which coordinate remains unchanged?

Back

The X-coordinate remains unchanged.

Front

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

Back

The distance is √(80) or approximately 8.94 units.

Front

What happens to the distance between two points if both points are moved in the same direction by the same distance?

Back

The distance remains the same.

Front

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

Back

The distance is 2 units.

Front

How do you find the distance between points in different quadrants?

Back

You add the absolute differences of their coordinates.

Front

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

Back

The distance is 4 units.