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In "Can You Zooley," the triangles refer to the dance moves that are done by the participants as part of the game. The triangles are a specific set of steps or sequences that players must perform in sync with the music to progress in the game. Mastering the triangles is key to advancing to higher levels and winning the game.
The question sheet and answers to "Can you zooley"are here http://msbeaker.blogspot.com/2010/02/lateral-thinking-and-logic-puzzles.html
I'm not familiar with the term "zooley." Could you provide more context or clarify your question?
Triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.
The wheel of Theodorus can go on indefinitely, as it is a geometric construction that creates a series of right triangles with decreasing side lengths. Each new triangle is created by adding a hypotenuse to the previous right triangle. The pattern continues, generating a sequence of triangles without an end point.
"SOHCAHTOA" is a mnemonic device used to remember the trigonometric ratios of sine, cosine, and tangent in right-angled triangles. The acronym stands for Sine=Opposite/Hypotenuse, Cosine=Adjacent/Hypotenuse, and Tangent=Opposite/Adjacent.