Answer:
The series of transformations that moves pentagon FGHIJ onto pentagon F'G'H'I'J' is;
C. Translation, translation
Step-by-step explanation:
The coordinates of points in pentagon FGHIJ are F(-2, 0), G(-1, 3), H(-2, 4), I(-5, 4), J(-4, 1)
The coordinates of points in pentagon F'G'H'I'J' are F'(2, 1), G'(3, 4), H'(2, 5), I(-1, 5), J(0, 2)
Therefore the series of transformations that moves pentagon FGHIJ onto pentagon F'G'H'I'J' are;
1) A horizontal translation 4 units to the right and
2) A vertical translation 1 unit up
Therefore, the series of transformations that moves pentagon FGHIJ onto pentagon F'G'H'I'J' is T₍₄, ₁₎ which is a translation, translation.
