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Geometry
Customer Question
Draw and label a diagram that includes:
A triangle with each vertex and the given information labeled. And all other information needed to present the proof.
Construct a formal proof of the theorem including:
Given statement(s)
Other statements
A reason for each step.
A conclusion that restates the theorem.
Submitted:
11 years ago.
Category:
Homework
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Expert:
xarqi
replied 11 years ago.
What is the theorem to be proved and what information is given?
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Customer:
replied 11 years ago.
Reply to xarqi's Post: Sorry,
I am supposed to prove that if the base angles of a triangle are congruent, then the triangle is isosceles.
Then the following information:
Draw and label a diagram that includes:
A triangle with each vertex and the given information labeled. And all other information needed to present the proof.
Construct a formal proof of the theorem including:
Given statement(s)
Other statements
A reason for each step.
A conclusion that restates the theorem.
Expert:
xarqi
replied 11 years ago.
OK.
Of course, the triangle will be, but proving it geometrically,
rather than trigonometrically is another matter.
I'll have a think and see what I can come up with.
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Expert:
xarqi
replied 11 years ago.
Right  I just have to draw it up now.
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Expert:
xarqi
replied 11 years ago.
Here's a proof. It is a little trigonometrical, but maybe that
will be OK. If it needs explanation or modification, just get
back to me.
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Customer:
replied 11 years ago.
It has to be geometrical.
I have to show geometric and spatial reasoning concepts and principles. I have to construct formal, logical arguments, proofs and constructions by following the above directions. I am sorry for all your wasted time, but it has to be geometric.
Thanks, Angela
Expert:
xarqi
replied 11 years ago.
Not wasted at all! Let me have another think about a different
approach. I guess I go back to Euclid and start from there! :)
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Expert:
xarqi
replied 11 years ago.
THIS ANSWER IS LOCKED!
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Expert:
xarqi
replied 11 years ago.
Make that:
Since triangles ACD and BCD sharea common side (CD), have
two sides of equal length (AD, and DB), and have congruent
included angles (ACD and DCB), they must be congruent.
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Customer:
replied 11 years ago.
Reply to xarqi's Post: I am sorry, this is not exactly what I was looking for. I really appreciate your help though.
Expert:
xarqi
replied 11 years ago.
Can you explain what it is that you are looking for? Give an
example perhaps? I was fairly sure I'd managed to give a
geometrical proof the second time. Where did it fall short?
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