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Paragraph Proof
Not all proofs are in two-column form, some are written in
sentences in a paragraph form. Each statement has it’s
reason in the same sentence. Try to fill in the blanks for
this paragraph proof and then save it as Yourname_proof
and e-mail it back to Mrs Varner.
Proof of angles in an equilateral triangles.
Given: Equilateral Triangle ABC
Prove: All angles are 60 degrees.
Given that Triangle ABC is equilateral, then all sides are
_______. (AB = BC = CA) If AB = BC then < ____ = <
____ and if BC = CA then < _____ = <_______ because
of the Isosceles Triangle Theorem.
All three angles in the triangle must total ______ so
m<A + m< B + m<___ = ______.
By substituting all angles that are equal to < A with that
expression in the previous equation, you obtain,
m< A + m< A + m< A = _____.
By adding the terms on the right, you obtain, 3 m<A =
_____. By dividing both sides of the equation you obtain
m< A = ______. Since all the angles are the same, that
means that _______________________________.
You are finished. Like it better than the two-column?
Save and send to Mrs Varner.