Question

How to write a paragraph proof? Given: ∠T and ∠V are right angles TW║VU. Prove: ΔTUW≅ΔVWU

Answer 1

Note: The missing diagram is attached below for a reference.

Answer:

• Δ $TUW$ ≅ Δ$VWU$ by $AAS$ case.

Step-by-step explanation:

Given:

• ∠T and ∠V are right angles.

• $TW$║ $VU$

To Prove:

• Δ $TUW$ ≅ Δ$VWU$

As

∠ $T$ ≅ ∠ $V$ ≅ $90^{0}$ (Given)

Side  $UW$ ≅

$TW$║ $UV$

and $UW$ is a transverse

So,

∠ $TWU$ ≅ ∠ $WUV$ $\left[alternate\:\:interior\:\:angles\right]$

$As\:Angle\:=\:Angle\:=\:side\:are\:equal$

Thus,

• Δ $TUW$ ≅ Δ$VWU$

Keywords: proof, paragraph, logic, reason

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