Chinese Matchstick Puzzles II: Rectangles and Squares

This mathematical applet presents a series of matchstick logic puzzles focusing on rectangles and squares. By moving or removing matchsticks (segments), users can explore the geometric construction and transformation of polygons. Utilizing GeoGebra's segment and polygon tools, this interactive resource visually demonstrates the side-length relationships and shape reconfigurations of rectangles and squares. The applet challenges students to solve a sequence of increasingly complex puzzles, such as transforming a rectangle into a square by relocating a specific number of matchsticks, or creating a desired number of unit squares by removing certain sticks. Through hands-on manipulation, learners develop a deeper understanding of perimeter, area, and the defining properties of rectangles and squares, including equal opposite sides, four right angles, and the relationship between side lengths. The interactive slider and step controls allow users to check their solutions at any time, providing immediate visual feedback. This activity is ideal for middle school geometry instruction, helping students strengthen spatial reasoning, logical deduction, and problem-solving skills. The engaging puzzle format makes abstract geometric concepts more tangible and memorable, encouraging students to think critically about how shapes can be decomposed and recomposed while preserving or altering their dimensional properties.