+0  
 
0
611
1
avatar

Given: NQ is the bisector of ∠MNP and ∠NMQ≅∠NPQ Prove: △MNQ≅△PNQ

 Mar 28, 2021
 #1
avatar+91 
0

Since NQ bisects ∠MNP, ∠MNQ = ∠QNP.

 

Considering that ∠NMQ≅∠NPQ, we can create the following diagram:

 

Notice that △MNQ and △PNQ share a side; meaning that we can use the ASA similarity rule to deduce that △MNQ≅△PNQ.

 Mar 28, 2021

1 Online Users