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Which transformation can be applied to the blue figure to create the red figure?

A: Rotation 90° counterclockwise around the origin, and then reflection across the y-axis

B: Rotation 180° around the origin, and then reflection across the y-axis

C: Reflection across the x-axis, and then rotation 90° counterclockwise around the origin

D: Reflection across the line y=-x, and then rotation 270° counterclockwise around the origin

Which transformation can be applied to the blue figure to create the red figure A Rotation 90 counterclockwise around the origin and then reflection across the class=

Respuesta :

frika

Answer:

D

Step-by-step explanation:

From the figure, the transformation that can be applied to the blue figure to create the red figure has the rule:

[tex](x,y)\rightarrow (-x,y)[/tex]

Now,

1. Reflection across the line y=-x has the rule

[tex](x,y)\rightarrow (-y,-x)[/tex]

2. Rotation 270° counterclockwise around the origin has the rule

[tex](x,y)\rightarrow (y,-x)[/tex]

3. Reflection across the line y=-x, and then rotation 270° counterclockwise around the origin has the rule

[tex](x,y)\rightarrow (-y,-x)\rightarrow (-x,y)[/tex]

As you can see, given transformation is equivalent to the sequense of transformations from option D

amna04352

Answer:

D: Reflection across the line y=-x, and then rotation 270° counterclockwise around the origin

Step-by-step explanation:

The red figure is just a reflection of the blue figure along the y-axis

The same result can be obtained by these two transformations:

1) Reflection across the line y = -x

And then

2) Rotation 270° counterclockwise around the origin

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