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Select the correct answer from each drop-down menu.
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Respuesta :

Answer:

The first blank is Reflection across the line x=-3

The second blank is reflection across the line y=x

for Edumentum/PLATO

Step-by-step explanation:

I just did the test. I got it correct. Good luck to everyone else taking their finals rn :)

The complete statement is:

The sequence of transformations that maps [tex]\triangle ABC[/tex] onto [tex]\triangle A'B'C'[/tex] is a

reflection across the line x=-3 followed by a reflection across the line y=x

The coordinates of triangle ABC are:

A= (-4,4), B = (-8,2) and C = (-6,6)

First, the triangle is reflected across the line x = -3.

The rule of this transformation is:

[tex](x,y) \to (|x| - 6,y)[/tex]

When the above transformation is applied to [tex]\triangle ABC[/tex], the coordinates become:

[tex]A = (-2,4)[/tex]

[tex]B = (2,2)[/tex]

[tex]C = (0,6)[/tex]

Next, reflect the above coordinates across the line y = x

The rule of this transformation is:

[tex](x,y) \to (y,x)[/tex]

When the above transformation is applied to [tex]\triangle ABC[/tex], the coordinates become:

[tex]A' = (4,-2)[/tex]

[tex]B' = (2,2)[/tex]

[tex]C' = (6,0)[/tex]

Hence, the sequence of transformations that maps [tex]\triangle ABC[/tex] onto [tex]\triangle A'B'C'[/tex] is a reflection across the line x=-3 followed by a reflection across the line y=x

Read more about transformation at:

https://brainly.com/question/4057530

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