Distance Between Points Flashcard

Front

What is the formula 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

Calculate the distance between the points (3, 4) and (7, 1).

Back

The distance is 5.0.

Front

What does the distance formula represent in a coordinate plane?

Back

It represents the straight-line distance between two points.

Front

If the points are (0, 0) and (x, y), what is the distance formula?

Back

d = √(x² + y²)

Front

Determine the distance between the points (-1, -1) and (2, 2).

Back

The distance is approximately 4.2.

Front

What is the distance between the points (5, 5) and (5, 10)?

Back

The distance is 5.0.

Front

How does the distance change if the points are moved further apart?

Back

The distance increases as the points are moved further apart.

Front

What is the distance between the points (1, 2) and (1, 5)?

Back

The distance is 3.0.

Front

If the distance between two points is 0, what can be said about the points?

Back

The points are the same; they coincide.

Front

Calculate the distance between the points (2, 3) and (2, -1).

Back

The distance is 4.0.