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Attempt following question by selecting a choice to answer.
Which of the figures satisfies the ASA
congruence condition?DDD ccc
Figure 1 and Figure 2
None of the above
Step 1: ASA congruence condition: If the measures of two angles and one side in a triangle are equal to the measures of corresponding two angles and one side of the other triangle, then the two triangles are congruent.
Step 2: From Figure-1, AC = CD and ÐA @ ÐD, ÐACB @ Ð DCE.
Step 3: DABC @ DCDE by ASA.
Step 4: From Figure-2, QR = RT, PR = RS and ÐPRQ @ ÐSRT
Step 5: DPQR @ DSRT by SAS.
Step 6: Only Figure-1 satisfies the ASA congruence condition.