Question 175896: What are the coordinates of Parallelogram WXYZ; w(-1,2), X(3,3), Y(0,-4), and Z(-4,-4), reflected over the y-axis then rotated 180 degrees about the origin?
Answer by Edwin McCravy(20060) (Show Source):
You can put this solution on YOUR website! What are the coordinates of Parallelogram WXYZ; w(-1,2), X(3,3), Y(0,-4), and Z(-4,-4), reflected over the y-axis then rotated 180 degrees about the origin?
Let's draw the parallelogram:
It's not a parallelogram. It's just a quadrilateral.
Did you maybe type the point X wrong, and it should
be X(3,2) and not X(3,3)? But whatever, the principle
is the same. I'll just reflect and rotate
the quadrilateral.
First we reflect it over the y-axis, by changing
the signs of the only the x-component. It will
now become quadrilateral ABCD
w(-1,2) becomes A(1,2)
X(3,3) becomes B(-3,3)
Y(0,-4) becomes C(0,-4)
Z(-4,-4) becomes D(4,-4)
Now we rotate it 180° about the origin, by changing
the signs of both coordinates. It will now become
quadrilateral PQRS:
A(1,2) becomes P(-1,-2)
B(-3,3) becomes Q(3,-3)
C(0,-4) becomes R(0,4)
D(4,-4) becomes S(-4,4)
Edwin
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