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Prove: If the base angles of a triangle are congruent, then

 
 
cheron
 
Reply Tue 30 Nov, 2004 03:52 pm
Draw and label a diagram that includes:

A triangle with each vertex and the given information labeled.

All other information needed to present the proof.

Task B
Construct a formal proof of the theorem including:

Given statement(s)

Other statements

A reason for each step.

A conclusion that restates the
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Type: Discussion • Score: 1 • Views: 670 • Replies: 2
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raprap
 
  1  
Reply Tue 30 Nov, 2004 08:47 pm
Is this in a plane? Cause if it is then the three angles of a triangle are equal to 180 degrees. And if the two base angles are congruent (meaning the same) the vertex angles are the same (easily shown using algebra).

This can also be demonstrated by construction, by replicating the two angles on a base segment of different lengths. The construction will yeild two similar triangles with all angles being congruent.

Rap
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markr
 
  1  
Reply Tue 30 Nov, 2004 10:00 pm
...the sides opposite the base angles are congruent.
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