PQRS is a kite. Draw the figure and name the equal sides. Draw the diagonals PR and QS and let then
meet at O. Is POS = POQ? What is the measure ofangle POS and anglePOQ
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Answer:
POS=POQ
angle POS=POQ=90
Step-by-step explanation:
in triangle PQR and PSR,
PS=PQ
SR=QR
PR=PR
By SSS Congruence
angle SPR=RPQ
Now,in triangle POS&POQ
PS=PQ
OP=OP
Angle SPO=QPO
By SAS congruence
Hence,angle POS=POQ
now SQ is straight line
angle POS=POQ=90
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