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8 questions
In the formal proof of the triangle sum theorem, the triangle is always formed between ________________________.
perpendicular lines
parallel lines
intersecting lines
a bunch of points
Each of the following relationships or properties is critical to proving the Triangle Sum Theorem EXCEPT _________.
∥→ alternate interior angles are ≅
Substitution Property
Angle Addition Postulate
Linear Pair Property
Fill in statement #2.
m∠6+m∠2+m∠3+m∠5=360
m∠1+m∠4=m∠6
m∠1+m∠2+m∠3=180
m∠1+m∠4+m∠7=180
Fill in statement #3.
m∠7=m∠2
m∠1=m∠6
m∠1=m∠3
m∠4=m∠5
Fill in reason #3.
∥→ corresponding angles are ≅
Substitution Property
∥→ alternate interior angles are ≅
Transitive Property
Fill in statement #4.
m∠7=m∠4
m∠1=m∠6
m∠1=m∠3
m∠4=m∠3
Fill in reason #4.
∥→ alternate interior angles are ≅
Substitution Property
∥→ corresponding angles are ≅
Reflexive Property
Fill in reason #5.
Triangle Sum Theorem
Substitution Property
Prove
Reflexive Property
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