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If two lines are parallel, what can be said about the corresponding angles forme

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Question: If two lines are parallel, what can be said about the corresponding angles formed by a transversal?

Options:

  1. They are equal.
  2. They are complementary.
  3. They are supplementary.
  4. They are different.

Correct Answer: They are equal.

Solution:

Corresponding angles formed by a transversal with parallel lines are equal.

If two lines are parallel, what can be said about the corresponding angles forme

Practice Questions

Q1
If two lines are parallel, what can be said about the corresponding angles formed by a transversal?
  1. They are equal.
  2. They are complementary.
  3. They are supplementary.
  4. They are different.

Questions & Step-by-Step Solutions

If two lines are parallel, what can be said about the corresponding angles formed by a transversal?
  • Step 1: Understand what parallel lines are. Parallel lines are two lines that never meet and are always the same distance apart.
  • Step 2: Know what a transversal is. A transversal is a line that crosses two or more other lines.
  • Step 3: When a transversal crosses two parallel lines, it creates several angles.
  • Step 4: Identify the corresponding angles. Corresponding angles are the angles that are in the same position at each intersection where the transversal crosses the parallel lines.
  • Step 5: Remember the rule: If the lines are parallel, then the corresponding angles are equal.
  • Corresponding Angles – When a transversal intersects two parallel lines, the angles that are in the same relative position at each intersection are called corresponding angles, and they are equal.
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