from the following figure prove that APD is congruent to BPC and find the angles of DPC
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u can get this sum by using the following methods so plzz kill thank u
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Sahana23:
give me the second subdivision I'll kill one more thank you
u can take two diagonals equal and the ange between them equal by sas congruent rule u can prove them congruent and by cpct the angles on the corner will b equal
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since,
ABCD is a square
⇒AB=BC=CD=DA.......(1)
APB is eq. Δ
⇒AP=AB=BP.......(2)
Now, consider Δs APD and BPC
AD=CB [from (1)]
AP=BP [from (2)]
angle DPA=angle CPB [vertically opposite angles]
therefore,ΔAPD is congruent to Δ BPC
by SAS similarity criterion
ABCD is a square
⇒AB=BC=CD=DA.......(1)
APB is eq. Δ
⇒AP=AB=BP.......(2)
Now, consider Δs APD and BPC
AD=CB [from (1)]
AP=BP [from (2)]
angle DPA=angle CPB [vertically opposite angles]
therefore,ΔAPD is congruent to Δ BPC
by SAS similarity criterion
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