Question

in the triangles, qr = de and sr = fe. which statement about the sides must be true? qs = df df < qs qs < de sr = de

Explanation:

Step1: Identify given equal sides

QR = DE, SR = FE, SR = FE (marked congruent)

Step2: Compare included angles

∠R = 62°, ∠E = 50° → ∠R > ∠E

Step3: Apply SAS inequality theorem

In two triangles with two equal sides, the longer third side is opposite the larger included angle. So QS > DF → DF < QS

Answer:

B. DF < QS