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Answer:
Its A. translation, then rotation, then reflection
Step-by-step explanation:
The rigid transformation(s) can map FGH onto VWX reflection, then translation, rotation, then translation.
We have given that rigid transformation(s) can map FGH onto VWX.
What is the transformation?
A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the image under the transformation.
When the points designating each triangle are considered in order, they are seen to be in clockwise order.
Segment FG is oriented to the west, while corresponding segment VW is oriented to the east. This means the figure could have been rotated 180° or reflected across a point. Either way, some translation may be necessary to align the figures as shown.
Possible transformations include
reflection across a point, then translation (depending on the location of the point)
rotation 180° about a point, then translation (depending on the location of the point)
If one of the triangles is reflected across the midpoint of GW, it will coincide with the other triangle.
Hence only one reflection across a chosen point is required.
Of course, reflection across a point is identical to rotation 180° about that point. For any other point of reflection or rotation, translation will be involved.
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