Question

In the given figure, which congruence rule can be used to prove that $△$ABC $\cong$ $△$CDA?

• A. SAS congruence rule
• B. ASA congruence rule
• C. RHS congruence rule
• D. SSS congruence rule

Answer 1

The correct option is C RHS congruence rule

In $△ABC$ and $△CDA$,
AC = CA (common side)
AB = CD (given)
Also, $\angle ACB$ = $\angle CAD$ = ${90}^{\circ }$ (from the figure)
Therefore, $△ABC\cong △$CDA (by RHS congruence condition)