Question

In figure 2.8, sides of ZPQR and ZXYZ are parallel to each other. Prove that, PQR ~XYZ ​

Answer 1

Answer:

Here,

PQ∥XY and PQ=XY

PR∥XZ and PR=XZ

Taking ΔPQR and ΔXYZ,

PQ=XY

PR=XZ

∠QPX=∠YXM=a

∠RPX=∠ZXM=b

∠XYZ=∠YXM+∠ZXM=a+b

∠XYZ=∠QPR=a+b

⇒ΔPQR≅ΔXYZ

Hence, proved.

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