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True. If all sides are congruent, and each angle is 90 degrees(keep in mind that in a four sided polygon, it adds up to 360), then the polygon is a square. All the square's sides will be proportional to each of the other squares sides, which makes it similar.

For example, if one square has a side length of 2, and another has a side length of 4, then the proportion would be 2\4, or 1\2. Since each side is congruent, then each side would be proportional. If you are proving, the squares diagonal, then the square, then it would be still proportional. Remember it would be a 45-45-90 triangle, with two angle bisected, and one left alone. 45-45-90 triangles are equal to the proportion x-x-x \/(2) (square root of two). So 2\/2 would be proportional to 4\/4 proving that any combo in a square would make it similar.

I hope this helps :D

-AnonymousSaber

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10y ago

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TRUE!!!

Howver, all squares are NOT congruent.

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lenpollock

Lvl 16
1y ago
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Q: Are all squares similar true or false?
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