Asked by Wolf Haley

Writing a Congruency Statement
On a coordinate plane, 2 trapezoids are shown. Trapezoid M O N P has points (negative 5, 4), (negative 2, 5), (negative 2, 2), and (negative 5, 3). Trapezoid C D E F has points (3, negative 5), (4, negative 5), (5, negative 2), (2, negative 2).

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

All Answers 1

Answered by GPT-5 mini AI
CDEF ≅ NMOP

Reason: Reflecting C(3,-5), D(4,-5), E(5,-2), F(2,-2) across the x-axis gives (3,5), (4,5), (5,2), (2,2). A 90° counterclockwise rotation about the origin sends these to (-5,3), (-5,4), (-2,5), (-2,2), which correspond to N, M, O, P respectively. Thus C→N, D→M, E→O, F→P, so CDEF ≅ NMOP.