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10 votes
10 votes
UX ≅ UY, YZ ≅ WX, TZ ≅ VW, and UV ≅ TU. Complete the proof that ∠W≅∠Z.

This is the first question I have seen with this type of two column proof, and i do not want to get it wrong as a large portion of my score will be taken from me.
(There may have to be another row(s) added, which can be done with the "Add line" button)
Geometry, Proofs involving SSS(and CPCTC)
https://www.ixl.com/math/geometry/proofs-involving-sss

UX ≅ UY, YZ ≅ WX, TZ ≅ VW, and UV ≅ TU. Complete the proof that ∠W≅∠Z. This is the-example-1
User TestTester
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1 Answer

17 votes
17 votes

You are just couple of steps away from completing the proof.

So far you have concluded that two sides of triangles ZTX and WVY are congruent. You need to complete it for the third side and prove the triangles are congruent. Then use it to complete the proof.

Missing statement and reasons given below.

Statement Reason

  • 12. WY = XZ Transitive property
  • 13. ΔZTX ≅ ΔWVY SSS congruency
  • 14. ∠W ≅ ∠Z CPCTC
User Tim Dunphy
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