Parallel line proofs

Everything You Need in One Place

Homework problems? Exam preparation? Trying to grasp a concept or just brushing up the basics? Our extensive help & practice library have got you covered.

Learn and Practice With Ease

Our proven video lessons ease you through problems quickly, and you get tonnes of friendly practice on questions that trip students up on tests and finals.

Instant and Unlimited Help

Our personalized learning platform enables you to instantly find the exact walkthrough to your specific type of question. Activate unlimited help now!

  1. Relationships between lines and angles
  1. What is the value of x if AB\overline {AB} \parallel CD\overline {CD} ?

    1. Parallel line proofs: using alternate alternate interior angles theorem to find unknown

    2. Parallel line proofs: solving for x by corresponding angles theorem

    3. Parallel line proofs: solve unknown by applying corresponding angles theorem
  2. Determine if enough information is given to prove pp \parallel qq State the postulates or theorems you use in your answers.

    1. Prove parallel lines by alternate exterior angles converse

    2. Parallel line proofs without enough information

    3. Proving parallel line using consecutive interior angles converse

    4. Parallel line proofs
  3. Prove that if two lines are cut by a transversal so the alternate exterior angles are congruent, then the lines are parallel. (Prove the Alternate Exterior Angles converse)
    1. Write a two-column proof.
      1. Given: mm \parallel nn, 1\angle 1 \cong2\angle 2
        Prove: ss \parallel tt
        Writing a two-column proof to prove parallel lines
      2. Given: 1\angle 1 \cong2\angle 2, 1\angle 1 \cong3\angle 3
        Prove: AB\overline {AB} \parallel CD\overline {CD}
        Parallel line proofs in a two-column proof
    Free to Join!
    StudyPug is a learning help platform covering math and science from grade 4 all the way to second year university. Our video tutorials, unlimited practice problems, and step-by-step explanations provide you or your child with all the help you need to master concepts. On top of that, it's fun - with achievements, customizable avatars, and awards to keep you motivated.
    • Easily See Your Progress

      We track the progress you've made on a topic so you know what you've done. From the course view you can easily see what topics have what and the progress you've made on them. Fill the rings to completely master that section or mouse over the icon to see more details.
    • Make Use of Our Learning Aids

      Last Viewed
      Practice Accuracy
      Suggested Tasks

      Get quick access to the topic you're currently learning.

      See how well your practice sessions are going over time.

      Stay on track with our daily recommendations.

    • Earn Achievements as You Learn

      Make the most of your time as you use StudyPug to help you achieve your goals. Earn fun little badges the more you watch, practice, and use our service.
    • Create and Customize Your Avatar

      Play with our fun little avatar builder to create and customize your own avatar on StudyPug. Choose your face, eye colour, hair colour and style, and background. Unlock more options the more you use StudyPug.
    Topic Notes