The coordinates of the endpoints of the side congruent to side KL are the coordinates of K' and L' which are (6,4) and (3,3).
We have given that,
Parallelogram JKLM is shown on the coordinate plane below.
If parallelogram JKLM is rotated 270° clockwise around the origin,
We have to determine the coordinates of the endpoints of the side congruent to side JM in the image parallelogram.
Parallelogram JKLM with ordered pairs at J negative 6, 2, at K negative 4, 6, at L negative 3, 3, at M negative 5, negative 1.
What is the 270° counterclockwise rotation?
A 270° counterclockwise rotation leads to this transformation
(x,y) → (y, - x)
So, we have
original point new point
J (-6, 2) J' (2, 6)
K (-4, 6) K' (6, 4)
L (-3, 3) L' (3, 3)
M (-5, -1) → M' (-1, 5)
So, you have the points J', K', L', and M' that define the new parallelogram.
The coordinates of the endpoints of the side congruent to side KL are the coordinates of K' and L' which are (6,4) and (3,3).
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