Final answer:
Yes, -225 degrees and 225 degrees are coterminal angles because they share the same terminal side when drawn in standard position despite the difference in their rotation directions.
Step-by-step explanation:
Yes, -225 degrees and 225 degrees are coterminal angles. Coterminal angles are angles that share the same initial side and terminal side, but they may rotate in different directions or for different numbers of full rotations. To find if two angles are coterminal, you can add or subtract multiples of 360° (a full circle) to one of the angles and see if it equals the other angle.
For -225 degrees, adding 360 degrees once gives us 135 degrees, which is not yet equal to 225 degrees. However, adding 360 degrees again gives us 495 degrees, which, when we subtract 360 degrees to normalize it within the range of 0 to 360 degrees (since -225 is one full rotation plus an additional -225 degrees), yields 135 degrees. Though 225 degrees and -225 degrees are not directly additive or subtractive in terms of 360 degrees, they still share the same terminal side when drawn in a standard position. Therefore, 225 degrees and -225 degrees are indeed coterminal angles.