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12 votes
12 votes
I need help on a problem

User Chad Von Nau
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1 Answer

8 votes
8 votes

Here, from the figure we see that,

Line EI is parallel to HG.

And EH and GI act as the transversal lines for the given parallel pair.

So, we get


\begin{gathered} \angle G=\angle I\text{ (alternate angles)} \\ \angle E=\angle H\text{ (alternate angles)} \\ \angle EFI=\angle GFH(vertically\text{ opposite angles)} \end{gathered}
\text{Also in }\Delta EIF\text{ side }FI\text{ is given equal to side }FG\text{ in }\Delta FGH

Therefore, we have two angles and one side equal in two triangles.

Henceproved that , they are congruent with the ASA (Angle Side Angle)rule.

User SimonSparks
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