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Question: DPQS @ DPSR. Which of the following congruence conditions best suits the triangles?



A ) ASA
B ) SSS
C ) SAS
D ) None of the above

Steps to derive

1 From the figure, ÐQPS @ ÐSPR and ÐQSP @ ÐPSR.

2 DPQS and DPSR have common side PS.

3 Since the measures of angles of two angles and included side of one triangle are equal to measures of the corresponding angles and included side of the other, DPQS @ DPSR.

4 So, ASA is the best congruence condition for the two triangles.



Hence the right answer is Option A

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