7.4. Lena has two triangles and a quadrilateral, and Vasya has two triangles (different from Lena's) and a pentagon (all figures are cut out of a sheet of plywood). Both claim that they can form both a rectangle and a rectangle from their figures.
a) Could it be that Lena is right?
b) Could it be that Vasya is right?
Solution: a) Lena can be right. b) Vasya can also be right. Possible constructions are shown in the figure.
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Lena's construction
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Vasya's construction
To the solution of problem 7.4
Answer: Both can be right.
Recommendations for checking:
| is in the work | points |
| :--- | :--- |
| Both constructions (Lena's and Vasya's) are provided. | 7 points |
| Only Vasya's construction is provided | 4 points |
| Only Lena's construction is provided | 3 points |
| Answer without justification and/or incorrect answer | 0 points |
| If the correct set of polygons is provided but it is not shown how they form a rectangle | -1 point for each rectangle |