Question

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These figures are congruent. What series of transformations moves pentagon FGHIJ onto pentagon F'G'HTU'? Н 4 2 4 2. Note: Rotations are clockwise. Reflections are over the x- or y-axis. O A. Reflection, rotation O B. Reflection, translation O C. Translation, translation O D. Translation, reflection PREVIOUS​

Answer 1

The series of transformations that moves pentagon FGHIJ onto pentagon F'G'H'I'J' is;

C. Translation, translation

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.