Sequences of Transformations
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- The identity is the transformation that does nothing. It maps every element in the domain to itself. Unsurprisingly, it is often denoted I:x↦xI:x\mapsto xI:x↦x. The composition …
By Sujay Kazi, Victor Wang
- Recall that we learned about 3 kinds of transformation: Reflection, Rotation, translation. Take a minute to review them if you want. Sometimes we apply more than one kind of tra…
By Christine, Victor Wang
Problems 14
- What qualities of the triangle are preserved after the sequence of transformation? Choose all the right answer(s)
- What is preserved through the transformation? Choose the best answer.
- What is true about the polygon after the transformation?
- What is a possible sequence of transformation the polygon undergoes?
- What is a possible sequence of transformation the polygon undergoes?
- The above polygon is translated and rotated. Does it matter which one we do first?
- To transform the triangle from the left to the right, which of the following sequences would work? Choose all the right answer(s)
- Which of the following will successfully transform the blue dot on the left to its new location on the right? Choose all the right answer(s)
- Denote AAA as A′A'A′ at its new location, compare ∠A\angle A∠A and ∠A′\angle A'∠A′
- Can the two shapes transform into each other's position through sequences of transformation?
- The purple shape is transformed into the pink shape through a sequence of transformation. Do the lengths of any of the line segments change after the transformation?
- The purple shape can certainly be transformed to where the pink shape is through a sequence of transformation. Can you complete the transformation, however, with just one step(o…
- You're playing a game of tetris. Remember you can only rotate and translate in tetris. Would you be able to fit the this yellow piece in the spot marked above? If so, how? \\ no…
- You're playing a game of tetris. Remember you can only rotate and translate in tetris. Would you be able to fit the this yellow piece in the spot marked above? If so, how? \\ no…