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NAME DATE PERIOD 35 Skills Practice Proving Lines Parallel Given the following information, determine which lines, if any, are parallel. State the postulate or theorem that justifies your answer.

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Three Parallel Lines Theorem If three parallel lines intersect two transversals, then they divide the transversals proportionally.

If two lines and a transversal form corresponding angles that are congruent, then the lines are parallel. Converse of the Alternate Interior Angles Theorem: If two lines and a transversal form alternate interior angles that are congruent, then the two lines are parallel.

Ways to Prove Lines Are Parallel the converse of the alternate interior angles theorem. the converse of the corresponding angles theorem. the converse of the same-side interior angles postulate. the converse of the alternate exterior angles theorem.

Properties of Parallel Lines Corresponding angles are equal. Vertical angles/ Vertically opposite angles are equal. Alternate interior angles are equal. Alternate exterior angles are equal. Pair of interior angles on the same side of the transversal are supplementary.

If two lines and a transversal form same-side interior angles that are supplementary, then the two lines are parallel. If two lines and a transversal form alternate exterior angles that are congruent, then the two lines are parallel.

The definition of parallel lines, in Euclid's wording, is that of “straight lines which, being in the same plane and being produced indefinitely in both directions, do not meet one another in either direction”.

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Form Packages
Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
DMCA Policy
About Us
Blog
Affiliates
Contact Us
Privacy Notice
Delete My Account
Site Map
Industries
Forms in Spanish
Localized Forms
State-specific Forms
Forms Kit
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
airSlate workflows
DocHub
Instapage
Social Media
Call us now toll free:
1-877-389-0141
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232