Q181
ABDC is a parallelogram in which diagonals AD and BC intersect at O. AE and DF are perpendiculars on BC at E and F, respectively. Which of the following is NOT true?
A.
ΔABC ≅ ΔDCB
B.
ΔAOE ≅ ΔDOF
C.
ΔAEB ≅ ΔDFC
D.
ΔADC ≅ ΔABD
AnswerAnswer: Option D
Solution
Answer: Option D
Solution:
CD = AB, AC = BD
OC = OB, AO = OD
AE = DF
ΔABC ≅ ΔDCB
ΔAOE ≅ ΔDOF
ΔAEB ≅ ΔDFC
ΔADC ≅ ΔABD (×) → Should be ΔADB