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37. Rectangle ABCD is graphed on a coordinate
Rectangle A'B'C'D' is formed by translating ABCD 2 units to the right and reflecting it across the y-
axis.
Which statement below would be true in this situation?
A. AB||B'D'
B. CD # A'B'
C. AC # A'B'
D. BD||C'D'​

Respuesta :

AC # A'B'

Step-by-step explanation:

While solving the above problem one must keep in mind that

  • Reflection along Y-axis would just make the rectangle upside down at the same distance from X-axis in the down direction.

Thus, from the figure it becomes clear that

  • AB ∦ B’D’
  • CD║A’B’
  • BD ∦ C’D’

Only statement that comes out true is the third statement which states that AC is not parallel to A’B’

Since the diagonal of a rectangle can not be parallel to one of its side (though the side in question is side of the same rectangle reflected in y axis)

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