The triangle pairs that can be mapped to each other using a reflection and a translation are option (b).
The following statement will clarify how that triangle pair is mapped to each other using a reflection and a translation:
- A translation moves a shape left or right and/or up or down.
- The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have shifted in one or more directions. There is no change in the shape.
- In Geometry, a reflection is known as a flip.
- A reflection is a mirror image of any given shape.
- Reflection is flipping an object across a line without changing its size or shape whereas Translation is sliding a figure in any direction without changing its size, shape, or orienattion.
- To graph a translation, perform the same change for each point. We can identify a reflection by the changes in its coordinates.
Hence, the correct answer is option (b).
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