Download Proving that the angles of a triangle add up to 180 degrees: Proving

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Transcript
Advanced Geometry
3.2 and 3.4 Triangle Theorem Proofs
Name_________________________
Proving that the angles of a triangle add up to 180 degrees:
Write a paragraph proof to prove the following:
Given: m n
Prove: m∠1 + m∠2 + m∠3 = 180°
Proving the Exterior Angle Theorem:
Write a two-column proof to prove the following:
Given: m∠2 + m∠3 + m∠4 = 180°
Prove: m∠1 = m∠3 + m∠4
________Statements
Reasons
__________
Proving the Pythagorean Theorem:
Review of a few area forumlas:
Find an expression that represents the area of the big square in two different ways:
a)
Using two sides of the big square:
b)
Using 4 triangles and the small square.
Since both equations in question number 1 represent the same area, set them equal to
each other and simplify.
What do you notice about the new equation?