Free Printable Triangle Sum Theorem Proof

1.

In the formal proof of the triangle sum theorem, the triangle is always formed between ________________________.

a)

perpendicular lines

b)

parallel lines

c)

intersecting lines

d)

a bunch of points

2.

Each of the following relationships or properties is critical to proving the Triangle Sum Theorem EXCEPT _________.

a)

$\parallel\rightarrow$ alternate interior angles are $\cong$

b)

Substitution Property

c)

Angle Addition Postulate

d)

Linear Pair Property

3.

Fill in statement #2.

a)

$m\angle6+m\angle2+m\angle3+m\angle5=360$

b)

$m\angle1+m\angle4=m\angle6$

c)

$m\angle1+m\angle2+m\angle3=180$

d)

$m\angle1+m\angle4+m\angle7=180$

4.

Fill in statement #3.

a)

$m\angle7=m\angle2$

b)

$m\angle1=m\angle6$

c)

$m\angle1=m\angle3$

d)

$m\angle4=m\angle5$

5.

Fill in reason #3.

a)

$\parallel\rightarrow$ corresponding angles are $\cong$

b)

Substitution Property

c)

$\parallel\rightarrow$ alternate interior angles are $\cong$

d)

Transitive Property

6.

Fill in statement #4.

a)

$m\angle7=m\angle4$

b)

$m\angle1=m\angle6$

c)

$m\angle1=m\angle3$

d)

$m\angle4=m\angle3$

7.

Fill in reason #4.

a)

$\parallel\rightarrow$ alternate interior angles are $\cong$

b)

Substitution Property

c)

$\parallel\rightarrow$ corresponding angles are $\cong$

d)

Reflexive Property

8.

Fill in reason #5.

a)

Triangle Sum Theorem

b)

Substitution Property

c)

Prove

d)

Reflexive Property

Triangle Sum Theorem Proof

Total questions: 8

Worksheet time: 14mins

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