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contestada

What are the vertices for the final image after applying
the composition T-24 • Ro 180° to triangle XYZ?

Respuesta :

Answer: X” is (-4,-1) Y” is (-4,1) Z” is (-6,1)

Explanation:

Just got it right on edge.

fichoh

The vertices X', Y' and Z' of the final image after undergoing the composite transformation are :

  • X'(-4,-1)

  • Y'(-5, 2)

  • Z'(-6,1)

Composition Applied :

When a Rotation of 180° about the origin is applied to a preimage, the resulting image obtained is ;

  • Preimage(X, Y) - - - - > Image(-X, - Y)

Translation of (-2, 4)

  • T(-2, 4)

Composite transformation on preimage:

X(2, 5) - - - 180° ; (-2, 4) - - - > X'(-2-2, -5+4) - - - > X'(-4,-1)

Y(3, 2) - - - 180° ; (-2, 4) - - - > X'(-3-2, - 2+4) - - - > X'(-5, 2)

Z(4, 3) - - - 180° ; (-2, 4) - - - > X'(-4-2, - 3+4) - - - > X'(-6,1)

Therefore, the vertices of the image produced after undergoing the composite transformation are :

  • X'(-4,-1)

  • Y'(-5, 2)

  • Z'(-6,1)

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