Rotate the triangle ABC about vertex C by 120 degrees to form A'B'C' and choose the correct statement from the following:
A
Perimeter of the triangle increases by 2 times.
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B
Coordinates of B and B' remains the same.
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C
Angle A = Angle A'
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D
Area of ABC is half the Area of A'B'C'.
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Solution
The correct option is C Angle A = Angle A' Here, A'B'C' is obtained by rotating ABC by 120 degrees. Since C is at the center of rotation, the rotation leaves its coordinates unchanged.
Therefore, the coordinates of C and C' remain the same.
Perimeters of ABC and A'B'C' remain the same as rotation does not affect their perimeters.
The angle measure does not change after rotation, so angle A is equal to angle A'.