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.
