What is the distance formula used to calculate the distance between two points in a Cartesian plane?
Distance Formula Review Warm-Up

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Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The distance formula is given by: d = √((x₂ - x₁)² + (y₂ - y₁)²).
2.
FLASHCARD QUESTION
Front
How do you write the coordinates of point A(3,1) and point B(-2,-1) in the distance formula?
Back
The distance between points A(3,1) and B(-2,-1) is written as: d = √((-2 - 3)² + (-1 - 1)²).
3.
FLASHCARD QUESTION
Front
What is the distance between the points (-5, -8) and (-1, -16)?
Back
The distance is approximately 8.9.
4.
FLASHCARD QUESTION
Front
How is the distance formula derived from the Pythagorean theorem?
Back
The distance formula is derived by considering the distance between two points as the hypotenuse of a right triangle formed by the differences in their x and y coordinates.
5.
FLASHCARD QUESTION
Front
What is the significance of the square root in the distance formula?
Back
The square root is used to ensure that the distance is a non-negative value, as distance cannot be negative.
6.
FLASHCARD QUESTION
Front
If point A is at (2,0) and point B is at (-2,4), how is the distance written?
Back
The distance is written as: d = √((-2 - 2)² + (4 - 0)²).
7.
FLASHCARD QUESTION
Front
What is the result of the distance calculation for points A(2,0) and B(-2,4)?
Back
The distance is approximately 4.47.
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