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Transcript 
3.3 Parallel Lines and Transversals
Section 3-3
Parallel lines and Transversals
Copyright © by Holt, Rinehart and Winston. All Rights Reserved.
3.3 Parallel Lines and Transversals
Definitions
Transversal:
Is a line, ray or segment that intersects two
or more coplanar lines, rays or segments
each at a different point
Copyright © by Holt, Rinehart and Winston. All Rights Reserved.
3.3 Parallel Lines and Transversals
Definitions
Alternate Interior Angles
Are two nonadjacent interior angles that lie
on opposite sides of a transversal
Copyright © by Holt, Rinehart and Winston. All Rights Reserved.
3.3 Parallel Lines and Transversals
Definitions
Alternate Exterior Angles
Are two nonadjacent exterior angles that lie on
opposite sides of a transversal
Copyright © by Holt, Rinehart and Winston. All Rights Reserved.
3.3 Parallel Lines and Transversals
Definitions
Same-Side Interior Angles
Are interior angles that lie on the same side of a
transversal
Copyright © by Holt, Rinehart and Winston. All Rights Reserved.
3.3 Parallel Lines and Transversals
Definitions
Corresponding Angles
Are two nonadjacent angles, one interior and
one exterior, that lie on the same side of a
transversal
Copyright © by Holt, Rinehart and Winston. All Rights Reserved.
3.3 Parallel Lines and Transversals
1) Identify pairs of angles.
Corresponding angles
Alternate interior angles
Same-side interior angles
Alternate exterior angles
Copyright © by Holt, Rinehart and Winston. All Rights Reserved.
3.3 Parallel Lines and Transversals
Theorems, Postulates, & Definitions
Corresponding Angles Postulate 3.3.2: If two
lines cut by a transversal are parallel, then
corresponding angles are congruent.
2  3
Copyright © by Holt, Rinehart and Winston. All Rights Reserved.
3.3 Parallel Lines and Transversals
Theorems, Postulates, & Definitions
Alternate Interior Angles Theorem 3.3.3:
If two lines cut by a transversal are parallel, then
alternate interior angles are congruent.
1  3
Copyright © by Holt, Rinehart and Winston. All Rights Reserved.
3.3 Parallel Lines and Transversals
Theorems, Postulates, & Definitions
Alternate Exterior Angles Theorem 3.3.4:
If two lines cut by a transversal are parallel,
then alternate exterior angles are congruent.
2  5
Copyright © by Holt, Rinehart and Winston. All Rights Reserved.
3.3 Parallel Lines and Transversals
Theorems, Postulates, & Definitions
Same-Side Interior Angles Theorem 3.3.5:
If two lines cut by a transversal are parallel, then
same-side interior angles are supplementary.
1 + 4 = 180
Copyright © by Holt, Rinehart and Winston. All Rights Reserved.
3.3 Parallel Lines and Transversals
2) Find angle measures formed by parallel lines
and transversals.
m || n and m1 = 135°.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved.
3.3 Parallel Lines and Transversals
3) Given m || n and transversal t
Prove: 1  3
Copyright © by Holt, Rinehart and Winston. All Rights Reserved.
Assignment
• Page 159 # 5-10, 15, 22-33, 36 and 38
Copyright © by Holt, Rinehart and Winston. All Rights Reserved.
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