What type of angles are formed when a transversal intersects two parallel lines?

Practice Questions

Q1
What type of angles are formed when a transversal intersects two parallel lines?
  1. Complementary angles
  2. Supplementary angles
  3. Equal angles
  4. All of the above

Questions & Step-by-Step Solutions

What type of angles are formed when a transversal intersects two parallel lines?
  • Step 1: Understand what a transversal is. A transversal is a line that crosses two or more other lines.
  • Step 2: Identify the two parallel lines. Parallel lines are lines that never meet and are always the same distance apart.
  • Step 3: Draw the transversal line so that it intersects the two parallel lines.
  • Step 4: Observe the angles formed at the points where the transversal crosses the parallel lines.
  • Step 5: Identify the types of angles formed: there are pairs of equal angles (corresponding angles), pairs of supplementary angles (same-side interior angles), and pairs of complementary angles (alternate interior angles).
  • Step 6: Remember that corresponding angles are equal, same-side interior angles are supplementary, and alternate interior angles are also equal.
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