Distance Formula Questions Worksheet
If you're in need of a comprehensive worksheet to practice distance formula questions, you've come to the right place. This worksheet is designed to provide ample practice for students who are learning or reviewing the distance formula.
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What is the distance between the points (2, -3) and (-1, 4)?
The distance between the points (2, -3) and (-1, 4) can be found using the distance formula, which is given by the square root of the sum of the squared differences in the x-coordinates and y-coordinates of the points. Therefore, the distance between the given points is equal to the square root of ((2-(-1))^2 + (-3-4)^2), which simplifies to the square root of (3^2 + 7^2), or sqrt(9 + 49), giving a final result of 50 units.
How far apart are the points (-5, 2) and (3, 7)?
To find the distance between the points (-5, 2) and (3, 7), you can use the distance formula which is ?[(x2 - x1)² + (y2 - y1)²]. Substituting the coordinates (-5, 2) and (3, 7) into the formula, the distance is ?[(-5 - 3)² + (2 - 7)²] = ?[(-8)² + (-5)²] = ?(64 + 25) = ?89. So, the distance between the two points is ?89 units.
Determine the distance between the points (0, 0) and (6, 8).
The distance between the points (0, 0) and (6, 8) can be calculated using the distance formula in coordinate geometry, which is ?((x2 - x1)^2 + (y2 - y1)^2). Substituting the coordinates of the points into the formula, we get ?((6 - 0)^2 + (8 - 0)^2) = ?(36 + 64) = ?100 = 10. Therefore, the distance between the points is 10 units.
What is the distance between (-2, -1) and (-2, 5)?
The distance between (-2, -1) and (-2, 5) is 6 units, as the two points share the same x-coordinate (-2) and the difference in their y-coordinates is 5 units (5 - (-1) = 6).
Find the distance between the points (4, 6) and (9, -2).
To find the distance between the points (4, 6) and (9, -2), we can use the distance formula, which is given by: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2). Plugging in the coordinates, we get: distance = sqrt((9-4)^2 + (-2-6)^2) = sqrt(5^2 + (-8)^2) = sqrt(25 + 64) = sqrt(89). Therefore, the distance between the two points is sqrt(89) units.
How far apart are the points (1, -4) and (-3, 1)?
The distance between the points (1, -4) and (-3, 1) can be found using the distance formula, which is d = ?[(x2 - x1)² + (y2 - y1)²]. Substituting the coordinates gives d = ?[(-3 - 1)² + (1 - (-4))²] = ?[(-4)² + (5)²] = ?[16 + 25] = ?41. Therefore, the two points are ?41 units apart.
Determine the distance between the points (8, -2) and (3, 5).
To find the distance between two points on a coordinate plane, we can use the distance formula: ?((x? - x?)² + (y? - y?)²). Plugging in the coordinates (8, -2) and (3, 5), we get ?((3 - 8)² + (5 - (-2))²) = ?((-5)² + (7)²) = ?(25 + 49) = ?74. Therefore, the distance between the points (8, -2) and (3, 5) is ?74 units.
What is the distance between (-2, 3) and (4, -1)?
The distance between the points (-2, 3) and (4, -1) can be found using the distance formula: ?((4 - (-2))^2 + ((-1) - 3)^2) = ?(6^2 + (-4)^2) = ?(36 + 16) = ?52 ? 7.21 units.
Find the distance between the points (7, 3) and (-4, -6).
To find the distance between two points, you can use the distance formula which is ?((x2 - x1)^2 + (y2 - y1)^2). Substituting the coordinates (7, 3) and (-4, -6) into the formula, the distance between the two points is ?((-4 - 7)^2 + (-6 - 3)^2) = ?((-11)^2 + (-9)^2) = ?(121 + 81) = ?202. So, the distance between the points (7, 3) and (-4, -6) is ?202 units.
How far apart are the points (0, 0) and (-8, 6)?
The points (0, 0) and (-8, 6) are 10 units apart from each other on a Cartesian plane using the distance formula ?((-8-0)² + (6-0)²) = ?(64 + 36) = ?100 = 10.
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