Question

PQRS is a quardilateral such that PQ=PS ; PR bisects angle P. Show that RS=RQ​

Answer 1

Answer:

ʀꜱ=ʀq

ʀ=ʀ ( ᴄᴏᴍᴍᴏɴ )

ᴩ=ᴩ ( ᴄᴏᴍᴍᴏɴ )

ꜱ= q ( ᴏᴩᴩᴏꜱɪᴛᴇ ).

ᴩʀᴏᴠᴇᴅ.

Answer 2

Answer:

In triangle PRS and triangle PRQ

PQ = PS (given)

angle SPR = angle QPR (PR is a bisector)

PR =PR (common)

triangle PRS~= triangle PRQ

by SAS criteria

by CPCT

RS = RQ

Hence Proved.

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