SOLUTION: Three different parallelograms have vertices at (-1,1), (2,0) and (2,3). Draw the three and give the coordinates of the missing vertices.

Algebra ->  Parallelograms -> SOLUTION: Three different parallelograms have vertices at (-1,1), (2,0) and (2,3). Draw the three and give the coordinates of the missing vertices.      Log On


   



Question 883305: Three different parallelograms have vertices at (-1,1), (2,0) and (2,3). Draw the three and give the coordinates of the missing vertices.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The three given points/vertices form a triangle.
Two of the sides of the triangle will be adjacent sides of the parallelogram,and the third side would be a diagonal.
We just need to draw lines parallel to the known sides of the parallelogram,
and see where they meet to the other side of the diagonal.
We connect each pair of given points/vertices with a line segment,
and then we draw a parallel line through the other given point/vertex.
In doing that, we are constructing 3 more congruent triangles,
forming a larger similar triangle.
The missing vertices (circled) are (-1,4), (-1,-2) and (5,2).