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If you use Toothpicks to make four squares move only two so that two squares remain and a toothpick must be a part of a square?
Old one. Make a square out of four squares, then remove two adjacent inside toothpicks. This leaves a large square with a small square inside.
How many rectangles can you make out of 12 toothpicks?
2 rectangles. Put two toothpicks on 2 sides and one on the other side, and that uses 6 toothpicks and if you make another rectangle like that you make 2 rectangles.
How do you use 10 toothpicks to make 3 congruent squares?
Since every square has 4 sides and you only have 10 toothpicks, obviously you can't have the squares be separate. You will need exactly 2 toothpicks to overlap. Once you realize that, there are two shapes that are possible and can be rotated to make a total of 6 different solutions. A straight line (vertical or horizontal): = = = | | | | = = = Or an L-shape (forwards, backwards, and upside-down forwards and backwards): = | | = = | | | = = Sorry that these don't look quite right, the formatting is getting screwed up.
How many squares in a 3 by 4 grid?
12 squares.
How many vertices does a square triangle have?
3 squares and 4 triangles will have 24 vertices. There will be 4 vertices for each of the 3 squares. Since there are 3 squares, that will be 12 vertices. There are 3 vertices for each of the 4 triangles. Since there are 4 triangles, that will be 12 vertices. 12+12=24.
