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Given: YX ≅ TW and YX || TW

YP ⟂ TW

ZW ⟂ YT

TP ≅ TZ

 

Prove: TYXW is a Rhombus

 Nov 24, 2019
 #2
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I'll give you an outline:

 

Use similar triangles to show that TY is congruent to TW

 

Now you have three congruent sides and one pair is parallel.

 

Now draw in the diagonal YW 

You now have enough info to show that triangles  TYW  and XYW are congruent.

 

Now you can prove the rest.

 Nov 26, 2019

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