Question

Please help to prove parallelogram.​

Answer 1

The question requests proof that WV = VR. See the definition of Mathematical proof and the explanation for the proof below.

What is a mathematical proof?

Mathematical proof refers to the steps of logical arguments which are given to show that a mathematical statement is true or correct.

What is the proof that WV = VR?

• Note that SR ║ QT;

Reason: This is given. The image is a parallelogram.

• Hence, ∠PSR  = ∠WVP
  Reason: Alternate angles formed by two parallel lines crossing each other

Hence, SV = PVReason: This is given by the annotation on the image

• Therefore: ΔSVR ≅ PVW

• Reason: They are formed by two parallel lines crossing each other.

Therefore if  ΔSVR ≅ PVW;

Then WV = VR.

QED.

Learn more about proofs at:
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