Question

In the following figure, $△ABC\cong △ADC$ if

• A. BC = AC
• B. BC = AD
• C. BC = CD
• D. CD = AC

Answer 1

The correct option is C

BC = CD

In $△ABC$ and $△ACD$

$AB=AC=AD$ [Given]

For $△ABC$ to be congruent to $△ADC$

$AB=AD$ [Given]

$AC$ is common,

Hence, from the given options,

$BC$ should be equal to $CD$ for $SSS$ congurency.