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Ad libitum [116K]
2 years ago
14

Write a two-column proof.

Mathematics
2 answers:
irga5000 [103]2 years ago
8 0

Proof:-

In ∆XYZ and ∆VWZ

\because\sf\begin{cases}\sf XZ\cong VZ(Given)\\ \sf YZ\cong WZ(Given)\\ \sf

Hence

∆XYZ\cong∆VWZ(Side-Angle-Side)

ira [324]2 years ago
8 0
<h3>Given:-</h3>

\begin{gathered}\\ \sf\longmapsto XZ≅VZ\end{gathered}

\begin{gathered}\\ \sf\longmapsto YZ≅WZ\end{gathered}

<h3>To prove:-</h3>

⇒△ XYZ≅△ VWZ

<h3>Proof:-</h3>

In △ XYZ&△ VWZ we have,

  • XZ=VZ [Given]
  • ∠XZY=∠VZW [Vertically opposite angles]
  • YZ=WZ [Given]

△ XYZ≅△ VWZ

Hence, Proved by side-angle-side theorem.

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