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The sequence of transformations, Ro, 90° ° rx-axis, is applied to AXYZ to produce AX"Y"Z". If the coordinates of Y"
are (3, 0), what are the coordinates of Y?

Respuesta :

Ashraf82

The coordinates of point y are (0 , -3)

Step-by-step explanation:

Rotation 90° around the origin and reflection across the x-axis

  • If point (x , y) rotated about the origin by angle 90°, then its image is (-y , x)
  • If point (x , y) reflected across the x-axis, then its image is (x , -y)

∵ Δ XYZ is rotated by the rule R(O , 90°)

- That means rotation 90° around the origin (change the sign of the

   y-coordinate and switch the coordinates)

∵ The coordinates of point Y are (x , y)

∴ Y' = (-y , x)

∵ Δ X'Y'Z' is reflected by the rule [tex]r_{x-axis}[/tex]

- That means reflection across the x-axis (change the sign of the

   y-coordinate of the point)

∵ The y coordinates of Y' is x

∴ Y" = (-y , -x)

∵ Y" = (3 , 0)

∴ -y = 3

- Divide both sides by -1

∴ y = -3

∴ -x = 0

- Divide both sides by -1

∴ x = 0

∵ The coordinates of point Y are (x , y)

∵ x = 0 and y = -3

∴ The coordinates of point y are (0 , -3)

The coordinates of point y are (0 , -3)

Learn more:

You can learn more about transformation in brainly.com/question/9720317

#LearnwithBrainly

22lsakur

Answer:

( 0,3 )

Step-by-step explanation:

Just took the test with this question

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