Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Three vertices of parallelogram JKLM are J(1, 4), K(5, 3), and L(6,-3). Find the coordinates ofvertex M.The coordinates are MOD.

Sagot :

Given data:

The coordinate of first vertex is J(1, 4).

The coordinate of second vertex is K(5, 3).

The coordinate of third vertex is L(6,-3).

Assume the coordinate of M is (x, y).

The diagonal of the parallelogram intersect at the mid point, the mid point of the diagonal JL is,

[tex]\begin{gathered} a=\frac{1+6}{2} \\ =\frac{7}{2} \\ b=\frac{4-3}{2} \\ =\frac{1}{2} \end{gathered}[/tex]

This is also the mid point of KM diagonal.

[tex]\begin{gathered} \frac{7}{2}=\frac{x+5}{2} \\ x=2 \\ \frac{1}{2}=\frac{y+3}{2} \\ y=-2 \end{gathered}[/tex]

Thus, the coordinate of M is (2, -2).