A quadrilateral with points A(1, 4), B(5, 4), C(4, 3) and D(2, 2) is reflected about the y-axis to form quadrilateral A'B'C'D'. Which of these sequences of transformations will also carry the quadrilateral ABCD onto A'B'C'D'? A. Rotating the quadrilateral 90Ëš clockwise about the origin and then reflecting it across the x-axis B. Rotating the quadrilateral 180Ëš about the origin and then reflecting it across the x-axis C. Rotating the quadrilateral 90Ëš counterclockwise about the origin and then reflecting it across the line D. Rotating the quadrilateral 180Ëš about the origin and then reflecting it across the line

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Respuesta :

Answer:

(B)

Step-by-step explanation:

I didn't see  a graph plot out which line in (C) and (D) be across, but I think the answer is (B)

Original : A(1, 4), B(5, 4), C(4, 3) , D(2, 2)

After reflected about Y-axis:  A'(-1, 4), B'(-5, 4), C'(-4, 3) , D'(-2, 2) ..........(1)

(B) Rotating the quadrilateral 180Ëš about the origin

    A(-1, -4), B(-5, -4), C(-4, -3) , D(-2, -2)

    Reflecting it across the x-axis

    A'(-1, 4), B'(-5, 4), C'(-4, 3) , D'(-2, 2) ........... (2)

The final coordinates are the same