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Three of the vertices of parallelogram ABCD are given. Find the coordinates of point D. Show your method. A (-2,-3) B (4,-3) C (3,2) D(x,y) . .​

Sagot :

rspill6

Answer:

D(-1,-8)

Step-by-step explanation:

See attached graph.

Plot the given points, then find the equation that links A and C and a second one to link C and B.  Plot those lines (Black and Red).  Find 2 equations for lines parallel (same slope, m) to these two lines.  Adjust the value of the y-intercept, b, such that one line intersects point A and the other point D (the Green and Blue lines).  Where those lines intersect will be the point D.

D (-1,-8)

View image rspill6
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