Salut!
Răspuns:
M ( 1;3 )
N ( 2; 1 )
P ( -2; -5 )
Q ( -3; -3 )
[tex]MN= \sqrt{ {(2 - 1)}^{2} + {(1 - 3)}^{2} } = \sqrt{ {1}^{2} + {( - 2)}^{2} } = \sqrt{1 + 4} = \sqrt{5} [/tex]
[tex]NP= \sqrt{ {( - 2 - 2)}^{2} + {( - 5 - 1)}^{2} } = \sqrt{ {( - 4)}^{2} + {( - 6)}^{2} } = \sqrt{16 + 36} = \sqrt{52} [/tex]
[tex]PQ= \sqrt{ {( - 3 + 2)}^{2} + {( - 3 + 5)}^{2} } = \sqrt{ {( - 1)}^{2} + {2}^{2} } = \sqrt{1 + 4} = \sqrt{5} [/tex]
[tex]MQ= \sqrt{ {( - 3 - 1)}^{2} + {( - 3 -3 )}^{2} } = \sqrt{ {( - 4)}^{2} + {( - 6)}^{2} } = \sqrt{16 + 36} = \sqrt{52} [/tex]
MN = QP
PN = QM
==> MNPQ - paralelogram
