p(-3,2),q(-5,-5),r(2,-3)and s(4,4) are the adjacent vertices of a
Anonymous:
incomplete question
Answers
Answered by
0
PQ=√[{-5-(-3)}²+(-5-2)²]=√(4+49)=√53
QR=√[{2-(-5)}²+{-3-(-5)}²]=√(49+4)=√53
RS=√[(4-2)²+{4-(-3)}²]=√(4+49)=√53
SP=√[(-3-4)²+(2-4)²]=√(49+4)=√53
PR=√[{2-(-3)}²+(-3-2)²]=√(25+25)=√50
QS=√[{4-(-5)}²+{4-(-5)}²]=√(81+81)=√162
∴, the four sides are equal (PQ=QR=RS=SP) but the diagonals are not equal (PR≠QS).
∴, The given points are the adjacent vertices of a rhombus.
QR=√[{2-(-5)}²+{-3-(-5)}²]=√(49+4)=√53
RS=√[(4-2)²+{4-(-3)}²]=√(4+49)=√53
SP=√[(-3-4)²+(2-4)²]=√(49+4)=√53
PR=√[{2-(-3)}²+(-3-2)²]=√(25+25)=√50
QS=√[{4-(-5)}²+{4-(-5)}²]=√(81+81)=√162
∴, the four sides are equal (PQ=QR=RS=SP) but the diagonals are not equal (PR≠QS).
∴, The given points are the adjacent vertices of a rhombus.
Similar questions
Political Science,
8 months ago
English,
8 months ago
Psychology,
8 months ago
Chemistry,
1 year ago
English,
1 year ago
English,
1 year ago