What set of reflections would carry trapezoid ABCD onto itse

What set of reflections would carry trapezoid ABCD onto itself?

Solution

Solution -

Coordinates of points are

A(1,-1) , B (2,-2) , C(3,-2) , D (4,-1)

After reflection about y = x line new points will be

(-1,1) ,(-2,2),(-2,3), (-1,4)

After reflection about x axis

  (-1,-1) ,(-2,-2),(-2,-3), (-1,-4)

  After reflection about y = x line new points will be

(-1,-1), (-2,-2),(-3,-2),(-4,-1)

After reflection about y axis

(1,-1) , (2,-2), (3, -2), (4,-1)

So we get same points so first option is correct.

  

 What set of reflections would carry trapezoid ABCD onto itself? SolutionSolution - Coordinates of points are A(1,-1) , B (2,-2) , C(3,-2) , D (4,-1) After refl

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