Which of the following sequences of transformations is used to obtain figure A prime B prime C prime D prime from figure ABCD?
A /Reflection about the x-axis followed by a translation to the right by 2 units
B/ Reflection about the y-axis followed by a translation to the left by 2 units
C/ Counterclockwise rotation by 90 degrees about the origin followed by a
translation to the right by 2 units
D/ Counterclockwise rotation by 90 degrees about the origin followed by a translation to the left by 2 units

To obtain A prime B prime C prime D prime from ABCD we have to reflect the figure ABCD about y- axis followed by translation to the left by 2 units.

What is reflection?

Reflection is basically change of direction of wavelength of a medium.

How to transform figure?

If we carefully see our figure then we will find the coordinates of ABCD which are A (1,3) B( 3,4) C( 2,1) D(1,1) the coordinates of [tex]A^{I} ,B^{I} ,C^{1} D^{1}[/tex] are (-3,3) , (-5,4) (-4,1), (-3,1) . If we observe the difference then we will find that only x coordinates differ. Because Only x coordinate changes so there will be reflection about y axis and because x- coordinates differ. It means there is translation leftwards by 2 units.

Hence to get the figure A prime, B prime, C prime , D prime from ABCD we have to reflect ABCD about y-axis and do translation to the left by 2 units.

Learn more about reflection at https://brainly.com/question/1908648

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