Distance Formula Exit Flashcard

Front

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

Back

Front

Calculate the distance between the points (1, 2) and (4, 6).

Back

Front

What is the distance between the points (-5, -8) and (-1, -16)?

Back

The distance is 8.9.

Front

How do you express the distance between points A(3,1) and B(-2,-1) using the distance formula?

Back

Front

What is the significance of the square root in the distance formula?

Back

The square root ensures that the distance is a non-negative value, as distance cannot be negative.

Front

If the coordinates of two points are the same, what is the distance between them?

Back

Front

What is the distance between the points (-4, 5) and (7, 18)?

Back

The distance is 17.03.

Front

How do you write the distance formula in terms of points A(x1, y1) and B(x2, y2)?

Back

Front

What is the distance between the points (2, 3) and (2, 7)?

Back

Front

What does the distance formula derive from in geometry?

Back

The distance formula derives from the Pythagorean theorem.