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Please help, i need right answers and be help if it with proof, ty! Figure G is rotated 90degree clockwise about the origin and then reflected over the x-axis, forming figure H.

Which sequence of transformations will produce the same results?
a reflection over the y-axis and then a rotation 90degree clockwise about the origin
a reflection over the x-axis and then a rotation 90degree clockwise about the origin
a 180degree rotation about the origin
a reflection over the y-axis and then a reflection over the x-axis

Please Help I Need Right Answers And Be Help If It With Proof Ty Figure G Is Rotated 90degree Clockwise About The Origin And Then Reflected Over The Xaxis Formi class=

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Answer:

A. A reflection over the y-axis and then a rotation 90 degree clockwise about the origin.

Step-by-step explanation:

Given information: Figure G is rotated 90degree clockwise about the origin and then reflected over the x-axis, forming figure H.

  • This means Figure H is made by G rotated CLOCKWISE and reflected over the X-AXIS.

A sequence of transformations to produce the same results could be the opposite of this, wherein Figure H undergoes a series of transformations to form Figure G.

  • A reflection over the y-axis flips figure H like folding a piece of paper in half vertically. To help visualize, the point (5, -2) becomes (-5, -2). A 90 degree clockwise turn about the origin makes the point (-5, -2) on figure H to become (-2, 5). Figure G has the same point at (-2, 5).
  • so, a reflection of figure H over the y-axis and then a rotation 90 degree clockwise about the origin will form figure G, thus producing the same results.

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