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Quick Geometry Help

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4)A rectangle that is not a square is rotated counterclockwise about its center. What is the minimum positive number of degrees it must be rotated until it coincides with its original figure?

5)A regular pentagon is rotated counterclockwise about its center by a nonzero angle. What is the minimum number of degrees it must be rotated until it coincides with its original position?

Picture:https://latex.artofproblemsolving.com/e/6/6/e66e869ca42cd75d48a55b84c9acc3815e694262.png

6)Jessica wants to add one more dot to the diagram below so that the four dots form the four vertices of a parallelogram. In how many possible locations can she put her dot?

Picture:https://latex.artofproblemsolving.com/e/a/5/ea5e9a9dac5003a72e6e808494f935c99bdbf56a.png

Apr 5, 2021

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I belive 4 to be 180 degrees, because we need to move each vertex to the postion it was formely occupied in by the vertex opposite itself along the diagnol. So that means it needs to be rotated 180 degrees.

Apr 5, 2021
#2
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4) 180 degrees

5)  72 degrees

6 )  Three

Apr 5, 2021