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A rotation transformation of (?) degrees rotates the shape 125 degrees counterclockwise. Which of the following options could be the value of the rotation angle?

A) 250 degrees
B) 125 degrees
C) 375 degrees
D) 500 degrees

1 Answer

4 votes

Final answer:

The correct value for a rotation angle that represents a 125-degree counterclockwise rotation is Option B: 125 degrees. This is because 125 degrees already represents the original intended rotation, and additional full turns (multiples of 360 degrees) do not change the effective rotation.

Step-by-step explanation:

The question assesses knowledge of rotation transformation in geometry, specifically asking for the value of an angle that represents a 125-degree counterclockwise rotation.

Rotations in geometry are transformations that turn a figure around a fixed point, known as the center of rotation. A full rotation accounts for 360 degrees. Therefore, to determine possible values for a counterclockwise rotation of 125 degrees, we can add multiples of 360 degrees to it.

Looking at the options given:

  • Option A: 250 degrees is not a multiple of 360 degrees plus 125.
  • Option B: 125 degrees is the original given angle and would represent a correct rotation angle.
  • Option C: 375 degrees is a 15-degree counterclockwise rotation when considering that 360 degrees complete a full turn, which is not the same as 125 degrees.
  • Option D: 500 degrees is equivalent to a 140-degree rotation because it is 360 degrees (a full turn) plus 140 degrees, not 125 degrees.

Therefore, the correct option that could represent a 125-degree counterclockwise rotation is Option B: 125 degrees.

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