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# What set of reflections would carry hexagon ABCDEF onto itself? a- x-axis, y=x, x-axis, y=x b- y-axis, x-axis, y-axis c- x-axis, y-axis, y-axis d- y=x, x-axis, y=x, y-axis Download png

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The rule of reflection over the x-axis ⇒⇒⇒ (x,y)→(x,-y)rule for reflection over y-axis ⇒⇒⇒ (x,y)→(-x, - y)rule for reflection over y = x ⇒⇒⇒ (x,y)→(y,x)=================================================let the coordinates of any point of the hexagon is (m,n)The correct sequence will the same system of coordinates, which means starting with (m,n), and the finish is also (m,n)=================================================Check the option to - x-axis, y=x, the x-axis, y=x(m,n) → (m, n) → (n,m) → (n, m) → (-m,-n) Incorrect set of reflections====================================================The option of testing per axis, x-axis, y-axis and(m,n) → (m,n) → (-m,-n) → (m,-n)Incorrect set of reflections=======================================================Verify that the option c: x-axis, y-axis, y-axis and(m,n) → (m, n) → (-m,-n) → (m,-n)Incorrect set of reflections=======================================================Check the d - y=x, the x-axis, y=x, the y-axis (m,n) → (n,m) → (n, m) → (m,n) → (m,n)The correct set of reflections=======================================================So, the correct option is ⇒⇒ d - y=x, the x-axis, y=x, the y-axis