Question

trapezoid cdef was reflected across the x - axis followed by a 90° rotation about the origin to create the other trapezoid shown on the graph. which congruency statement applies to the trapezoids? cdef ≅ npom cdef ≅ mnpo cdef ≅ nmop cdef ≅ mopn

Explanation:

Step1: Recall transformation properties

Reflections and rotations are rigid - motions. Rigid - motions preserve congruence.

Step2: Match vertices

When trapezoid CDEF is reflected across the x - axis and then rotated 90° about the origin, we need to match the corresponding vertices. Starting from the original trapezoid CDEF and observing the new trapezoid, we can see that C corresponds to N, D corresponds to P, E corresponds to O, and F corresponds to M.

Answer:

CDEF ≅ NPOM