Investigation 1. In how many ways can you cut a square-based cake into two congruent parts? 2. Provide drawing 

The image above illustrates five distinct ways to cut a square-based cake into two congruent parts, as described in the investigation.

Would you like further details or explanations on any of the cuts?

Here are 5 related questions for further exploration:

1. What would happen if the cake had a circular base instead of a square?
2. How many ways could you cut a cube-shaped cake into congruent parts?
3. Can a cake with a triangular base be cut into two congruent parts? How?
4. How would symmetry change if the square-based cake were not perfectly square?
5. Is it possible to cut the cake into more than two congruent parts?

**Tip:** When cutting objects symmetrically, always look for lines of symmetry, as they often suggest possible cutting planes!

Investigation 1. In how many ways can you cut a square-based cake into two congruent parts? 2. Provide drawing.

Discover how to cut a square-based cake into two congruent parts using symmetry and geometric principles. Explore five distinct solutions with illustrations and further questions for exploration. Suitable for students in Grades 5-7.

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