Parallel line proofs

All You Need in One Place

Everything you need for better marks in primary, GCSE, and A-level classes.

Learn with Confidence

We’ve mastered the UK’s national curriculum so you can study with confidence.

Instant and Unlimited Help

24/7 access to the best tips, walkthroughs, and practice questions.

0/1
?
Intros
Lessons
  1. Relationships between lines and angles
0/10
?
Examples
Lessons
  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 p∥p \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: m∥m \parallel nn, ∠1\angle 1 ≅\cong∠2\angle 2
        Prove: s∥s \parallel tt
        Writing a two-column proof to prove parallel lines
      2. Given: ∠1\angle 1 ≅\cong∠2\angle 2, ∠1\angle 1 ≅\cong∠3\angle 3
        Prove: AB‾\overline {AB} ∥\parallel CD‾\overline {CD}
        Parallel line proofs in a two-column proof
    Topic Notes
    ?