Respuesta :
Answer: X” is (-4,-1) Y” is (-4,1) Z” is (-6,1)
Explanation:
Just got it right on edge.
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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