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Parallelogram JKLM is shown on the coordinate plane below:


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.


If parallelogram JKLM is rotated 270° clockwise around the origin, what are the coordinates of the endpoints of the side congruent to side JM in the image parallelogram?

Verified Answer :

starrynightart78

The answer is J'(6, -2) M'(5,1)

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Answer:

The coordinates of end points of the side congruent to JM i.e J'M' are J'(-2,-6) & M'(-1,5).

Step-by-step explanation:

Given the coordinates of parallelogram JKLM

J(-6,2) , K(-4,6), L(-3,3), M(-5,-1)

Now, the parallelogram JKLM is rotated 270° clockwise around the origin, then the coordinates after rotation about 270° changes to

(x,y) → (y,-x)

Hence, the coordinates of the endpoints of the side congruent to side JM are

J(-6,2) →  J'(-2,-6)

M(-5,-1) → M'(-1,5)


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