Matchsticks

Theory

Matchstick problems are among the most exciting topics for developing spatial reasoning.

Usually, there are two types of actions you can perform on problems with matchsticks:

1. Remove the matchstick

2. Move the matchstick

In the first case, your goal is to achieve a structure by completely removing a certain number of matchsticks. In the second case, you should move a specific number of matchsticks to achieve the correct structure.

Ensure that after you move or remove matchsticks, there are no dangling matchsticks.


Problems

Twenty-four matchsticks are laid out as shown in the figure. How many squares are there? Complete the following tasks:


a) remove 4 matchsticks so that 5 equal squares are formed;

b) remove 6 matchsticks so that 5 equal squares are formed;

c) move 12 matchsticks so that 2 equal squares are formed;

d) remove 8 matchsticks so that 4 equal squares are formed;

e) remove 8 matchsticks so that 3 squares are formed;

f) remove 8 matchsticks so that 2 squares are formed.

Remove 6 matchsticks to get 4 squares.

Remove 5 matchsticks to get 3 squares.

Remove 3 matchsticks to get 3 squares.

Remove 2 matchsticks to get 4 squares.

Remove 2 matchsticks to get 4 squares.

Place 12 matches to make four small squares and one large one.

Move 3 matchsticks to get 3 squares.

Move 3 matches to reverse the direction of the arrow.

Move 2 matchsticks to get 3 squares.

Make 5 identical triangles and 1 pentagon from 5 matches.

Is it possible to move exactly one matchstick to make a square?


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