Download Geometry Notes – Lesson 3.2 Name _________________________________

Geometry
Notes – Lesson 3.2
Name _________________________________
What is the converse?
1.
Conditional:
If 2 lines are parallel, then the corresponding angles are congruent.
Converse:
If the ____________________________________________ are ___________, then the two lines are _____________________.
(Picture)
2.
Conditional:
If 2 lines are parallel, then the alternate interior angles are congruent.
Converse:
If the ____________________________________________ are ___________, then the two lines are _____________________.
(Picture)
3.
Conditional:
If two lines are parallel, the same-side interior angles add up to 1800.
Converse:
If the ___________________________________________ add up to ______, then the two lines are ______________________.
(Picture)
4.
Conditional:
If 2 lines are parallel, then the alternate exterior angles are congruent.
Converse:
If the ____________________________________________ are ___________, then the two lines are _____________________.
(Picture)
5.
Conditional:
If two lines are parallel, the same-side exterior angles add up to 1800.
Converse:
If the ___________________________________________ add up to ______, then the two lines are ______________________.
(Picture)
Summary:
If you want to prove that lines are parallel, you will use the converse postulates or theorems of the following:
1. _____________________________
2. ____________________________
3. _____________________________
4. ____________________________
5. ____________________________
Why are these lines parallel?
1.
2.
3.
4.
Are these lines parallel? If yes, state the postulate or theorem.
1.
2.
3.
4.
5.
6.
Find x.
7.
8.
9.
10.
11.
12.
13)
a) Given
b) Given
. Which lines (if any) are parallel?
. Which lines (if any) are parallel?
Which lines (if any) are parallel? Justify answer with a theorem or postulate.
14)
15)
16) Using the given information, determine which lines (if any) are parallel, justify the conclusion.
a)
b)
c)