The toy company could confirm that the pieces are similar using the definition of similarity in terms of similarity transformations by (d) verifying segment GH ≅ segment JK and segment GI ≅ segment JL by translation.
To prove that both triangles are similar, then the side lengths (not angles would be compared) to be similar.
This means that, the following corresponding sides must be similar:
- Segments GH and JK
- Segments HI and KL
- Segments GI and JL
To prove the similarities, we translate either of both triangles
Hence, the true statement is (d)
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