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Create a line through point C that is perpendicular to line AB. Label the intersection between a perpendicular line and line AB as point EWhen you’re done based on your construction what do you know about triangle ACE and BCE

Create a line through point C that is perpendicular to line AB. Label the intersection-example-1
User Jayo
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1 Answer

18 votes
18 votes

As given by the question

There are given that to create a line through a point C.

Now,

The line through point C is perpendicular to line AB and intersection between a perpendicular line AB as point E.

So,

Now,

From the given triangle ACE and BCE;


\begin{gathered} AC=BC \\ \angle CEA=\angle CEB \\ CE=\text{CEAE}=EB \\ \Delta ACE\cong\Delta BCE \end{gathered}

Create a line through point C that is perpendicular to line AB. Label the intersection-example-1
User Benjamin RD
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