SOLUTION: If A (1,-2),B(3,6)And C(5,10) Are The Three Vertices Of Aparallelogram, Find Its 4th Vertex D.Also,Find The Angle Between The Diagonals AC And BD.
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Question 388240: If A (1,-2),B(3,6)And C(5,10) Are The Three Vertices Of Aparallelogram, Find Its 4th Vertex D.Also,Find The Angle Between The Diagonals AC And BD.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
To go from C to D, you move over 2 and up 4.
To keep it a parallelogram, move that same distance from A to D.
D:(,)+(,)=(,)
.
.
.
From the diagram,
degrees
Also,
degrees, since
So then the angle between the diagonals, , is,
degrees
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