Question

By applying SAS congruence condition, state which of the following pairs of triangles are congruent. State the result in symbolic form

Answer 1

(i) We have
OA = OC
and OB = OD
and $\angle AOB=\angle COD$ which are vertically opposite angles.
Therefore by SAS condition, $△AOB\cong △COD.$
(ii) We have
BD = CD
$\angle ADB=\angle ADC={90}^{\circ }$
and AD = AD (common)
Therefore by SAS condition, $△ADB\cong △ADC.$
(iii) We have
AB = CD
$\angle BAD=\angle DCA$
and AC = CA (Common)
Therefore by SAS condition, $△BAC\cong △DCA.$