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2017 AMC 10A Problem 12

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2017 AMC 10A Problem 12AMC 10 Step by Step
Name:                             Date: September 13, 2026
Coordinate Geometry · difficulty 3 of 5 · about 4 min · position P11-15

Let SS be a set of points (x,y)(x,y) in the coordinate plane such that two of the three quantities 3, x+2,3,~x+2, and y−4y-4 are equal and the third of the three quantities is no greater than this common value. Which of the following is a correct description for S?S?

  1. A)

    a single point\text{a single point}

  2. B)

    two intersecting lines\text{two intersecting lines}

  3. C)

     three lines whose pairwise intersections are three distinct points\text{ three lines whose pairwise intersections are three distinct points}

  4. D)

    a triangle\text{a triangle}

  5. E)

    three rays with a common endpoint\text{three rays with a common endpoint}

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