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):
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Or an L-shape (forwards, backwards, and upside-down forwards and backwards):
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Sorry that these don't look quite right, the formatting is getting screwed up.
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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.
If you get a bit creative, you will be able to make the word HAT using 5 toothpicks. If you make the 'H' skinny using 3TP and have the horizontal TP extend out towards the right. Then use 1TP to lay at an angle connecting to the second leg of the 'H' and crossing the horizontal TP leaving a bit extended to form the 'A'. The use 1TP to connect to the extended horizontal toothpick to form the 'T". 3 +1 +1 = 5 toothpicks to make the word HAT. However, if you want to do it the simple way, you'll need 8.
A. Corresponding parts of similar triangles are similar.B. Alternate interior angles are supplementary.C. Alternate interior angles are congruent.D. Corresponding parts of congruent triangles are congruent
CPCTC represents Corresponding Parts of Congruent Triangles are Congruent. You would use this in Triangle Proofs.
You can prove that to triangles are congruent with SSS, then use CPCTC to prove that two corresponding angles of those triangles are congruent.