Lines & Transversals Worksheet With Answers Page 3
ADVERTISEMENT
1
2
3
4
5
6
7
8Name
Period:
Angles Formed by Parallel Lines and Transversals Proofs
Definition: In the picture at right, line l is called a transversal.
Definition: For two lines intersected by a transversal, corresponding angles are a pair of
1 2
angles that lie on the same side of the transversal and on the same sides of the two other
t
3 4
lines. For example, in the picture at right,
1& 5
are corresponding,
2 & 6
are
corresponding, as well as
3 & 8
and
4 & 7
.
5 6
Corresponding Angle Postulate: If two parallel lines are cut by a transversal, then the pairs of
h
8 7
corresponding angles are congruent.
l
You will be using this postulate and the picture above to write the following proofs. Two of
them are completed as examples; you need to use this new postulate and the previously learned definitions,
theorems, or postulates to fill in the reasons.
t h
t h
1. Given:
2. Given:
3
≅
6
2
≅
8
Prove:
Prove:
Statement
Reason
1.
t h
Given
3
≅
8
s
2.
Corresponding
post.
8
≅
6
3.
4.
3
≅
6
3. Given:
t h
4. Given:
t h
3
5
2
7
Prove:
and
are supplementary
Prove:
and
are supplementary
Statement
Reason
t h
1.
2.
3
≅
8
m
3
=
m
8
3.
4.
8
and
5
are supp.
5.
m
8
+
m
5 180
=
°
m
3
+
m
5 180
=
°
6.
7.
3
and
5
are supp.
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education