Question

Direction (14 - 15) : Study the figure and information given below carefully and answer the following questions.
CF and AE are equal perpendiculars on BD, BF = FE = ED.
$△$ABE is congruent to

• A. $△$AED
• B. $△$BFC
• C. $△$CDF
• D. $△$BCD

Answer 1

Answer: (C)

$△$CDF

In $△ABE$ and $△CDF$

$\Rightarrow$ $AE=CF$ [given]

$\Rightarrow$ $\angle AEB=\angle CFD$ [given]

$\Rightarrow$ $BF+FE=DE+EF$

$\Rightarrow$ $BE=DF$

$\therefore$ $△ABE\cong △CDF$ [By SAS criteria]