crystallopez504 crystallopez504
  • 02-03-2019
  • Mathematics
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quadrilateral ABCD is a parallelogram with diagonals that intersect at point E. Which of the following statements is true?

quadrilateral ABCD is a parallelogram with diagonals that intersect at point E Which of the following statements is true class=

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Ashraf82
Ashraf82 Ashraf82
  • 02-03-2019

Answer:

The answer is (D) ⇒ AE ≅ CE

Step-by-step explanation:

∵ ABCD is a parallelogram

∴ AB = DC , AB // DC

∴ BC = AD , BC // AD

∴ m∠A = m∠C , m∠B = m∠D

∴ AC and BD bisect each other at E

∴ AE = CE

∴ The right statement is D ⇒ AE ≅ CE

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IJessicaI
IJessicaI IJessicaI
  • 02-03-2019
Statement D because A and C are equidistant from the point E (they have the same distance to point E) so AE _~ CE
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