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3 years ago

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

Mathematics

1 answer:

mafiozo [28]3 years ago

4 0

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 $VWU$

∠ $T$ ≅ ∠ $V$ ≅ $90^{0}$ (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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