Question 5

Suppose initially the triangle does not contain the origin. Now suppose we want to rotate the triangle 75 degrees about one of its vertices, which we call the pivot vertex. We can accomplish this by which of the following:

  1. Simply apply a rotation of 75 degrees to the triangle.
  2. Translate the triangle so that the pivot vertex is at the origin and then rotate the triangle by 75 degrees.
  3. Translate the center of the triangle to the origin, rotate the triangle by 75 degrees and then translate the center of the triangle back to its original position.
  4. Translate the pivot vertex to the origin, rotate the triangle by 75 degrees and then translate the pivot vertex back to its original position.