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Questions and Answers
What is the formula for calculating the distance between two points A(x₁, y₁) and B(x₂, y₂)?
What is the formula for calculating the distance between two points A(x₁, y₁) and B(x₂, y₂)?
- $d = ext{sqrt}ig{(}(x₂ - x₁)^2 + (y₂ - y₁)^2ig{)}$ (correct)
- $d = rac{(x₁ - x₂)^2 + (y₁ - y₂)^2}{1/2}$
- $d = rac{(x₂ - x₁)^2 + (y₂ - y₁)^2}{(x₁ + y₁)}$
- $d = rac{(x₂ - x₁) + (y₂ - y₁)}{2}$
In the distance formula, what does AC represent?
In the distance formula, what does AC represent?
- The distance along the y-axis
- The horizontal difference between x-coordinates (correct)
- The constant value of x-coordinate
- The vertical difference between y-coordinates
How does the formula for distance between two points reflect the Pythagorean theorem?
How does the formula for distance between two points reflect the Pythagorean theorem?
- It calculates the distance by adding the y-coordinates directly.
- It treats the differences in coordinates as the two legs of a right triangle. (correct)
- It uses the average of the x-coordinates instead of absolute differences.
- It derives the distance as a sum of angles in a triangle formed by the points.
If point A is located at (3, 4) and point B is at (6, 8), what is the distance between the two points?
If point A is located at (3, 4) and point B is at (6, 8), what is the distance between the two points?
Which statement about the distance formula is true?
Which statement about the distance formula is true?
What can be inferred if the distance between two points A(x₁, y₁) and B(x₂, y₂) is zero?
What can be inferred if the distance between two points A(x₁, y₁) and B(x₂, y₂) is zero?
If points A and B have coordinates (x₁, y₁) and (x₂, y₂) respectively, which of the following statements correctly describes the distance formula?
If points A and B have coordinates (x₁, y₁) and (x₂, y₂) respectively, which of the following statements correctly describes the distance formula?
What does the expression $(x₂ - x₁)^2$ in the distance formula represent geometrically?
What does the expression $(x₂ - x₁)^2$ in the distance formula represent geometrically?
Which transformation of the distance formula correctly calculates the distance using absolute values?
Which transformation of the distance formula correctly calculates the distance using absolute values?
When calculating the distance between the points (4, 2) and (1, 1), which of the following is the correct computation of the distance based on the formula?
When calculating the distance between the points (4, 2) and (1, 1), which of the following is the correct computation of the distance based on the formula?
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