2023 AMC 10 A

Complete problem set with solutions and individual problem pages

Problem 19 Easy

The line segment from A(1,2) to B(3,3) can be transformed to line segment from A^{\prime}(3, 1) to B ^ { \prime } (4,3), sending A to A ^ { \prime }and B to B^{\prime}, by a rotation centered at the point P(s,t). What is | s - t | ?

  • A.

    \frac { 1 } { 4 }

  • B.

    \frac { 1 } { 2 }

  • C.

    \frac { 2 } { 3 }

  • D.

    \frac { 3 } { 4 }

  • E.

    1

Answer:C