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MATH / On the Cartesian plane, the midpoint between two points A(a,b) and B(c,d) is M(m,n). If A is moved vertically upwards 20 units and horizontally to the right 14 units, and B is move…

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problem

On the Cartesian plane, the midpoint between two points A(a,b)A(a,b) and B(c,d)B(c,d) is M(m,n)M(m,n). If AA is moved vertically upwards 20 units and horizontally to the right 14 units, and BB is moved vertically downwards 4 units and horizontally to the left 2 units, then the new midpoint between AA and BB is $M'$. What is the distance between MM and $M'$?
Plain-text mathematical notation (without MathML)
On the Cartesian plane, the midpoint between two points A(a,b) and B(c,d) is M(m,n). If A is moved vertically upwards 20 units and horizontally to the right 14 units, and B is moved vertically downwards 4 units and horizontally to the left 2 units, then the new midpoint between A and B is $M'$. What is the distance between M and $M'$?
Original LaTeX notation
On the Cartesian plane, the midpoint between two points $A(a,b)$ and $B(c,d)$ is $M(m,n)$. If $A$ is moved vertically upwards 20 units and horizontally to the right 14 units, and $B$ is moved vertically downwards 4 units and horizontally to the left 2 units, then the new midpoint between $A$ and $B$ is $M'$. What is the distance between $M$ and $M'$?

level

Level 5

type

Algebra

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Source and history

task_id
8fd9f82e-fa2b-59b6-91e4-91e82249d3ec
task_key
algebra--test--8fd9f82e-fa2b-59b6-91e4-91e82249d3ec
task_revision_id
1
config / split
algebra / test

Official source

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