Question

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

Answer 1

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

Answer 2

The answer is (D) ⇒ AE ≅ CE

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