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Triangle XYZ is reflected across the y-axis. Then its image is rotated 90° about the origin. What are the
coordinates of the final image of point X under the composition of transformations?
• (-3,2)
• (3,2)
• (2-1)
0 (-2,-3)
None of the other answers are correct
Help me

Triangle XYZ is reflected across the yaxis Then its image is rotated 90 about the origin What are the coordinates of the final image of point X under the compos class=

Respuesta :

Answer:

(- 3, 2 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y )

X has coordinates X(- 2, 3 ), hence

X'(2, 3 ) ← after reflection in the y- axis

Under a rotation about the origin of 90°

a point (x, y ) → (- y, x )

Hence

X'(2, 3 ) → X''(- 3, 2 ) ← final image point

varshamittal029

The correct option will be option A: The final image point of X will be (-3,2).

What is reflection?

The reflection about an axis is the transformation of the picture about an axis so that distance of every point from the axis before and after reflection will remain the same.

Here the coordinate of point X in triangle XYZ is (-2,3).

First, the triangle XYZ is reflected about the y-axis.

As we know, the reflection of the point of coordination (x,y) after reflection about the y-axis will be (-x,y).

(x,y)→(-x,y)

So the point X of coordination (-2,3) after reflection about the y-axis will be (2,3).

Then the reflected point is rotated about the origin.

As we know the rotation of the point of coordination (x,y) after rotation about origin will be (-y,x).

(x,y)→(-y,x)

So the point of coordination (2,3) after rotation about the origin will be (-3,2).

Therefore The final image point of X will be (-3,2).

Learn more about reflection

here: https://brainly.com/question/1908648

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