Question

Which of the following is true about the rhombus ABCD?

• A. AB = BC
• B. $\angle AED=\angle BEC$
• C. AE = BE
• D. EB = ED

Answer 1

Answer: (A), (B), (D)

The correct options are
A AB = BC
B $\angle AED=\angle BEC$
D EB = ED

• All the sides of a rhombus are equal. Hence, $AB=BC=CD=DA.$
• Since, the diagonals of a rhombus are perpendicular bisectors, $\angle AED=\angle DEC=\angle BEC=\angle AEB={90}^o$ and $AE=EC,BE=ED.$
• The diagonals of a rhombus are not equal. So, $AC\ne BD$. Hence, $AE\ne BE.$