medium Set 31 Logic Puzzle

Medium Tangram: Rectangle #31

  1. Form the shape of a Rectangle using all 7 tangram pieces.
  2. All pieces must be used exactly once with no gaps or overlaps.
  3. Pieces may be flipped to create the target shape.
  4. Some piece positions are shown. Use them as anchor points.
Show solution

[{"step":1,"instruction":"Identify the Rectangle silhouette outline as your target."},{"step":2,"pieceName":"Large Triangle 1","instruction":"Place the first large triangle to form the largest section of the shape."},{"step":3,"pieceName":"Large Triangle 2","instruction":"Place the second large triangle adjacent to the first, forming the main body."},{"step":4,"pieceName":"Medium Triangle","instruction":"Fit the medium triangle into the middle area of the figure."},{"step":5,"pieceName":"Square","instruction":"Place the square to fill a compact interior region."},{"step":6,"pieceName":"Parallelogram","instruction":"Slide the parallelogram (flip if needed) into the remaining angled gap."},{"step":7,"pieceName":"Small Triangle 1","instruction":"Tuck the first small triangle into a corner or pointed region."},{"step":8,"pieceName":"Small Triangle 2","instruction":"Place the final small triangle to complete the silhouette."},{"step":9,"instruction":"Verify all 7 pieces are used with no overlaps and no gaps outside the outline."}]

Title
Medium Tangram: Rectangle #31
PuzzleType
geometric
TargetShape
Rectangle
Pieces
  • {"id":"LT2","name":"Large Triangle 2","type":"large-triangle","rotation":180,"positionHint":"top-left corner","isVisible":true}
  • {"id":"ST1","name":"Small Triangle 1","type":"small-triangle","rotation":315,"positionHint":"bottom-right corner","isVisible":true}
  • {"id":"MT1","name":"Medium Triangle","type":"medium-triangle","rotation":0,"positionHint":"center-left","isVisible":true}
  • {"id":"LT1","name":"Large Triangle 1","type":"large-triangle","rotation":315,"positionHint":"bottom-left corner","isVisible":false}
  • {"id":"ST2","name":"Small Triangle 2","type":"small-triangle","rotation":45,"positionHint":"top-center","isVisible":false}
  • {"id":"SQ1","name":"Square","type":"square","rotation":180,"positionHint":"top-right corner","isVisible":false}
  • {"id":"PG1","name":"Parallelogram","type":"parallelogram","rotation":135,"positionHint":"center","isVisible":false}
VisiblePieceCount
3
Clues
  • Form the shape of a Rectangle using all 7 tangram pieces.
  • All pieces must be used exactly once with no gaps or overlaps.
  • Pieces may be flipped to create the target shape.
  • Some piece positions are shown. Use them as anchor points.
Solution
  • {"step":1,"instruction":"Identify the Rectangle silhouette outline as your target."}
  • {"step":2,"pieceName":"Large Triangle 1","instruction":"Place the first large triangle to form the largest section of the shape."}
  • {"step":3,"pieceName":"Large Triangle 2","instruction":"Place the second large triangle adjacent to the first, forming the main body."}
  • {"step":4,"pieceName":"Medium Triangle","instruction":"Fit the medium triangle into the middle area of the figure."}
  • {"step":5,"pieceName":"Square","instruction":"Place the square to fill a compact interior region."}
  • {"step":6,"pieceName":"Parallelogram","instruction":"Slide the parallelogram (flip if needed) into the remaining angled gap."}
  • {"step":7,"pieceName":"Small Triangle 1","instruction":"Tuck the first small triangle into a corner or pointed region."}
  • {"step":8,"pieceName":"Small Triangle 2","instruction":"Place the final small triangle to complete the silhouette."}
  • {"step":9,"instruction":"Verify all 7 pieces are used with no overlaps and no gaps outside the outline."}
Hints
  • The two large triangles form more than half of the Rectangle silhouette.
  • The parallelogram is the only piece that may need to be flipped over.
  • Start with the largest pieces and work toward the smallest.