Question

$l$ and $m$ are two parallel lines intersected by another pair of parallel lines $p$ and $q$. Then:

• A. $△ABC\cong △CDA$.
• B. $△ABC\cong △ADC$.
• C. $△ABC\cong △DCA$.
• D. $△ABC\cong △CAD$.

Answer 1

Answer: (A)

$△ABC\cong △CDA$.

In $△ABC$ and $△CDA$
$\angle CAB=\angle ACD$ (Pair of alternate angle)
$\angle BCA=\angle DAC$ (Pair of alternate angle)
$AC=AC$ (Common side)
$△ABC\cong △CDA$ (ASA criteria)