Question

Rhombus IKLM has vertices J(−1,−4),K(1,1), and L(6,3). The coordinates ofM are (□)⋅(). [17,6]5.D

Solid Geometry
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asked 2020-12-07

Rhombus IKLM has vertices \(J(−1,−4), K(1,1),\) and L(6,3). The coordinates of M are \((\Box)⋅(?). [17,6]5.D\)

Expert Answers (1)

2020-12-08

A rhombus is a parallelogram so its opposite sides are parallel. So, \(JK^{-}∥LM^{-}.\) To get from K to J, you move 2 units to the left (subtract 2 from x) and move 5 units down (subtract 5 from y). So, we to this from L to find M:
\(M(6−2,3−5)=M(4,−2)\)

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