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5. Point C (3, -4) is reflected on the line y = -x, then reflected again on the X axis.

the reflection composition of point C is ....

a. C "(4, 3)

b. C '(4, -3)

C.

C "(- 4, 3)

d. C "(- 4, -3)​

Respuesta :

MrRoyal

Answer:

[tex]C" = (4,3)[/tex]

Step-by-step explanation:

Given

[tex]C = (3,-4)[/tex]

Transformation 1: y = -x reflection

Transformation 2: x axis reflection

Required

The new coordinates of C

[tex]C = (3,-4)[/tex]

Transformation 1: y = -x reflection

This gives: (-y,-x)

So:

[tex]C = (3,-4)[/tex]

[tex]C' = (4,-3)[/tex]

[tex]C' = (4,-3)[/tex]

Transformation 2: x axis reflection

This gives: (x,-y)

So:

[tex]C' = (4,-3)[/tex]

[tex]C" = (4,3)[/tex]

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