{
  "icon" : "arrow.trianglehead.2.clockwise.rotate.90",
  "id" : "09D68EFF-6F76-5F1D-8486-58BD7DCA2F7A",
  "lines" : [
    {
      "id" : "7296A956-4152-5C57-9220-6C5CBA6ED87E",
      "source" : "# Start with a point"
    },
    {
      "id" : "CFCAADDD-CF6B-5048-BDCB-A1549252FBBD",
      "source" : "\/\/ Drag x and y to move the point (x, y)."
    },
    {
      "id" : "CCE21F7F-3C43-5D43-ACDB-47FE53DB4E1E",
      "source" : "x = 3 in -6 … 6"
    },
    {
      "id" : "AC1967A5-51D7-5C51-8EBA-BAFA3D761D61",
      "source" : "y = -2 in -6 … 6"
    },
    {
      "id" : "D98E19D7-BD23-55AB-9A77-E2FF5CA79DFA",
      "source" : "point = [x, y]"
    },
    {
      "id" : "56D097B0-8AF8-5014-90EA-89242DC7CDFB",
      "source" : ""
    },
    {
      "id" : "E69EDA1D-64E0-570F-A54D-377D0904F704",
      "source" : "# Translate"
    },
    {
      "id" : "4C40308D-3453-5556-BE0E-91D1659B344B",
      "source" : "\/\/ Slide 4 right and 1 up: (x, y) → (x + 4, y + 1)."
    },
    {
      "id" : "8BC93C72-396D-5BF2-BF0E-B93A73BD6089",
      "source" : "slid = point + [4, 1]"
    },
    {
      "id" : "6D4C7B99-354C-5324-81BC-411A41456184",
      "source" : ""
    },
    {
      "id" : "1437C795-DC38-5682-9307-ED6DF22CA37E",
      "source" : "# Reflect"
    },
    {
      "id" : "A418253F-A191-5927-87C4-FD4E328D37F2",
      "source" : "\/\/ Across the y-axis x changes sign; across the x-axis y changes sign."
    },
    {
      "id" : "8EEB07E6-22FB-5B4D-8D79-082CEA775FB2",
      "source" : "across y axis = [-x, y]"
    },
    {
      "id" : "AD5D4A67-D1DA-5D58-8C31-99A7D97887C5",
      "source" : "across x axis = [x, -y]"
    },
    {
      "id" : "A99C4E50-3429-5420-8379-45E71F5F9A91",
      "source" : ""
    },
    {
      "id" : "688F4FB7-CF19-54F0-8E4E-E208A64AB8CC",
      "source" : "# Rotate"
    },
    {
      "id" : "A2947D19-62FB-5F58-BCCE-979216C52AFB",
      "source" : "\/\/ A quarter turn counterclockwise about the origin: (x, y) → (-y, x)."
    },
    {
      "id" : "E438E5BC-A93C-5717-909C-AEE668D45C11",
      "source" : "quarter turn = [-y, x]"
    },
    {
      "id" : "15E50CB5-81BA-5C09-844D-9D96059A8E49",
      "source" : "half turn = [-x, -y]"
    },
    {
      "id" : "EFE639FB-B8FF-5691-A360-3941DCE771ED",
      "source" : "\/\/ Turning keeps the point the same distance from the origin."
    },
    {
      "id" : "A91A9851-0643-5AF7-B411-C2557AA8B98D",
      "source" : "norm(quarter turn) == norm(point)"
    }
  ],
  "numberStyle" : {
    "decimal" : ".",
    "grouping" : ",",
    "secondaryGroupSize" : 3
  },
  "title" : "Transformations"
}