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One vertex of a polygon is located at (3, –2). After a rotation, the vertex is located at (2, 3). Which transformations could have taken place? Select two options. R0, 90° R0, 180° R0, 270° R0, –90° R0, –270°

Respuesta :

Romeiw7098

Answer:

R0, 90°

R0, –270°

Step-by-step explanation:

the vertex has a rotation (3,-2) --> (2,3).  

Or in x and y coordinates, (x,y) --> (-y,x).

The rotation that has this said rule is R0, 90°. And 90° is equal to –270°

MrRoyal

Transformation involves rotation of points from one position to another. The transformations that could have taken place are: R0, 270°or R0, -90°

Let the vertex be represented as V.

So, we have:

[tex]V = (3,-2)[/tex] --- before rotation

[tex]V' = (2,3)[/tex] --- after

The possible transformations from V to V' are:

  • 90 degrees counterclockwise rotation
  • 270 degrees clockwise rotation

The proof is as follows:

A 90 degrees counterclockwise rotation (R0, -90) is given as:

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

So, we have:

[tex](3,-2) \to (2,3)[/tex]

A 270 degrees clockwise rotation (R0, 270) is given as:

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

So, we have:

[tex](3,-2) \to (2,3)[/tex]

By comparing the end points of the rotations to [tex]V' = (2,3)[/tex], we can conclude that the transformations that could have taken place are: R0, 270°or R0, -90°

Read more about transformations at:

https://brainly.com/question/11707700

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