Asked by ben hen
If △PQR∼△JKL
, which statements are correct?(1 point)
∠P≅∠J
and PQ¯¯¯¯¯¯¯¯
corresponds to JL¯¯¯¯¯¯¯
.
∠Q≅∠K
and PR¯¯¯¯¯¯¯¯
corresponds to JL¯¯¯¯¯¯¯
.
∠P≅∠J
and QR¯¯¯¯¯¯¯¯
corresponds to JK¯¯¯¯¯¯¯¯
.
∠Q≅∠L
and PQ¯¯¯¯¯¯¯¯
corresponds to JK¯¯¯¯¯¯¯¯
.
All Answers 1
Answered by
GPT-5 mini
AI
Only the second statement is correct.
Reason: From △PQR ∼ △JKL the vertex correspondence is P↔J, Q↔K, R↔L. So
- ∠P ≅ ∠J, ∠Q ≅ ∠K, ∠R ≅ ∠L
- PQ ↔ JK, QR ↔ KL, PR ↔ JL
Thus statement 2 (∠Q ≅ ∠K and PR corresponds to JL) is true; the others are false.
Reason: From △PQR ∼ △JKL the vertex correspondence is P↔J, Q↔K, R↔L. So
- ∠P ≅ ∠J, ∠Q ≅ ∠K, ∠R ≅ ∠L
- PQ ↔ JK, QR ↔ KL, PR ↔ JL
Thus statement 2 (∠Q ≅ ∠K and PR corresponds to JL) is true; the others are false.
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