Question

In two triangles PQR and XYZ, (QR/XZ) = (PQ/YX) = (RP/ZY). Which of the following option is correct?
1. ΔPQR ∼ Δ XYZ
2. ΔPQR ∼ ​Δ YXZ
3. ΔPQR ∼ ​Δ ZYX
4. ΔQRP ∼ ​Δ XYZ

Answer 1

Correct Answer - Option 2 : ΔPQR ∼ ​Δ YXZ

Given:

(QR/XZ) = (PQ/YX) = (RP/ZY)

Concept used:

Match the corresponding parts given in the ratios.

Explanation:

QR → XZ

⇒ Q is corresponding to X and R is corresponding to Z

PQ → YZ

⇒ P is corresponding to Y and Q is corresponding to Z

From the above comparison, we can clearly conclude that ΔPQR is similar to ΔYXZ.

∴ The option 2 (ΔPQR ∼ ΔYXZ) is correct.