Given that triangles APQR and AJKL are similar (APQR ~ AJKL), we can deduce several relationships between corresponding sides and angles based on the property of similarity.
When two triangles are similar, their corresponding sides are proportional and their corresponding angles are equal.
From the similarity notation APQR ~ AJKL, we can determine the following correspondences:
- A corresponds to A
- P corresponds to J
- Q corresponds to K
- R corresponds to L
Given this correspondence, we can analyze the statements:
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Q L and PQ corresponds to JK.
- Incorrect. Q corresponds to K, while L corresponds to R. PQ does not correspond to JK.
-
Q K and PR corresponds to JL.
- Correct. Q corresponds to K and PR corresponds to JL (since P corresponds to J and R corresponds to L).
-
PLJ and QR corresponds to JK.
- Incorrect. PL does not have a direct correspondence with QR. P corresponds to J, L corresponds to R, but this statement is unclear.
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PLJ and PQ corresponds to JL.
- Incorrect. PL does not correspond to PQ.
Based on the above analysis, the only correct statement is:
- Q K and PR corresponds to JL.