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BlackZzzverrR [31]
2 years ago
15

Which shows the image of quadrilateral ABCD after the transformation Ro, 90°?

Mathematics
1 answer:
mrs_skeptik [129]2 years ago
7 0

Quadrilateral ABCD is rotated 90 degrees clockwise, to get new points as A'(0, 1), B'(-1, 0), C'(-3, 2) and D'(-2, 3).

<h3>What is Transformation?</h3>

Transformation is defined as the movement of a point from its initial location to a new location.

There are different types of transformation: rotation, translation, reflection, and dilation.

If a point A(x, y) is rotated clockwise by 90 degrees, the new point will be  at A'(y, -x)

Quadrilateral ABCD is at A(-1, 0), B(0, -1), C(-2, -3) and D(-3, -2).

If ABCD is rotated 90 degrees clockwise, the new point will be at A'(0, 1), B'(-1, 0), C'(-3, 2) and D'(-2, 3).

Find out more on transformation at:

brainly.com/question/1548871

#SPJ1

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Step-by-step explanation:

The equations are:

x^2+4y^2=100\\4y-x^2=-20

Solving for x^2 of the 2nd equation and putting that in place of x^2 in the 2nd equation we have:

4y-x^2=-20\\x^2=4y+20\\-------\\x^2+4y^2=100\\4y+20+4y^2=100

Now we can solve for y:

4y+20+4y^2=100\\4y^2+4y-80=0\\y^2+y-20=0\\(y+5)(y-4)=0\\y=4,-5

So plugging in y = 4 into an equation and solving for x, we have:

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So y = 4 corresponds to x = 6 & x = -6

The pairs would be

(6,4) & (-6,4)

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