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Given uv = su tu sv prove vt = st

Given uv = su tu sv prove vt = st-example-1

2 Answers

0 votes

Answer:

Given: TU = US = SV

Prove: ST > SV

Explanation:

User Cyrlop
by
8.0k points
6 votes

Answer: see proof below

Explanation:


\begin{array}cl&\underline{\text{Statement}}&&\underline{\text{Reason}}\\1.&TU\perp SV&1.&\text{Given}\\2.&\angle TUV = 90^o&2.&\text{De finition of Perpendicular angles}\\&\angle TUS = 90^o&&\\3.&\angle TUV=\angle TUS&3.&\text{Transitive Property}\\4.&UV=US&4.&\text{Given}\\5.&TU=TU &5.&\text{Reflexive Property}\\6.&\triangle TUV = \triangle TUS&6.&\text{SAS Congruency Theorem}\\7.&VT=ST&7.&CPCTC\end{array}

User Antialiasis
by
8.5k points

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