Respuesta :
Answer:
the only correct statement is ∠P ≅ ∠J and QR corresponds to JK.
Step-by-step explanation:
The correct statement for the given situation is:
- ∠P ≅ ∠J and QR corresponds to JK.
This means that angle P is congruent to angle J, and the side QR corresponds to the side JK in the similar triangles △PQR and △JKL.
To determine the correct statement, we need to consider the properties of similar triangles. In similar triangles, corresponding angles are congruent, and corresponding sides are in proportion.
Let's analyze the other statements to see if they hold true:
- ∠Q ≅ ∠L and PQ corresponds to JK.
This statement is incorrect because it states that side PQ corresponds to side JK, which is not true. The corresponding sides should be QR and JK.
- ∠P ≅ ∠J and PQ corresponds to JL.
This statement is incorrect because it states that side PQ corresponds to side JL, which is not true. The corresponding sides should be QR and JK.
- ∠Q ≅ ∠K and PR corresponds to JL.
This statement is incorrect because it states that side PR corresponds to side JL, which is not true. The corresponding sides should be QR and JK.
Therefore, the only correct statement is ∠P ≅ ∠J and QR corresponds to JK.