Question

In figure 2.8, sides of ∠PQR and ∠XYZ are parallel to each other. Prove that, ∠PQR≅∠XYZ. But how to find how did you considerd the line xz ?!

Answer 1

Thank you for asking this question. Here is your answer:

PQ || XY and PQ = XY

PR || XZ and PR = XZ

Taking Δ PQR and ΔXYZ

PQ =  XY

PR = XZ

∠ QPX = ∠YXM = a

∠ RPX = ∠ZXM

∠XYZ = ∠YXM + ∠ZXM = a + b

∠XYZ = ∠QPR = a + b

ΔPQR ≅ ΔXYZ (SAS)

ar (ΔPQR)  = ar. (Δ XYZ)

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