AMC 10 Step by Step
Log inSign up
Printable

2023 AMC 10A Problem 19

Include the solutionBack to the problem
2023 AMC 10A Problem 19AMC 10 Step by Step
Name:                             Date: September 13, 2026
Coordinate Geometry · difficulty 3 of 5 · about 5 min · position P16-20

The line segment formed by A(1,2)A(1, 2) and B(3,3)B(3, 3) is rotated to the line segment formed by A′(3,1)A'(3, 1) and B′(4,3)B'(4, 3) about the point P(r,s)P(r, s) . What is ∣r−s∣|r-s| ?

  1. A)

    14\frac{1}{4}

  2. B)

    12\frac{1}{2}

  3. C)

    34\frac{3}{4}

  4. D)

    23\frac{2}{3}

  5. E)

    11

Working