Courses
Courses for Kids
Free study material
Offline Centres
More
Store

# Which congruence criterion can be used for the following?Given: $RP=ZX,RQ=ZY,\angle PRQ=\angle XZY$ . So, $\Delta PQR=\Delta XYZ$ .

Last updated date: 17th Jul 2024
Total views: 348.6k
Views today: 6.48k
Verified
348.6k+ views
Hint: We first explain the possible congruence criterion. We use SAS and show the conditions for the given information. We place the values of sides and in between angles to find the congruence.

In the given equality forms we have two equal sides of $RP=ZX,RQ=ZY$ and one equal angle in between those equal sides
$\angle PRQ=\angle XZY$ for $\Delta PQR,\Delta XYZ$ respectively.
$RP=ZX,RQ=ZY,\angle PRQ=\angle XZY$ for $\Delta PQR,\Delta XYZ$ satisfies the conditions.
Two equal sides for $\Delta PQR,\Delta XYZ$ are $RP=ZX,RQ=ZY$ respectively. The angle $\angle PRQ=\angle XZY$ in between those equal sides is also satisfies the condition.
Therefore. We got $\Delta PQR=\Delta XYZ$ using the congruence criterion SAS.