Math Problem Statement

MO and PR areparallellines.

L M N O P Q R S

Which angles are corresponding angles?

MO and PR are parallel lines. Which angles are corresponding angles?

Solution

In this diagram, we have two parallel lines MOMO and PRPR, with a transversal LQSLQS crossing both of them. We are asked to identify the corresponding angles.

Corresponding Angles:

When two parallel lines are cut by a transversal, corresponding angles are pairs of angles that:

  • Are on the same side of the transversal.
  • One angle is inside the parallel lines and the other is outside.

Looking at the diagram:

  • Angle MNQ\angle MNQ is inside the parallel lines and on the upper side of the transversal LQSLQS.
  • The angle corresponding to MNQ\angle MNQ on the other side of the transversal would be PQS\angle PQS, as it is outside the parallel lines but on the same side of the transversal.

Therefore, the correct pair of corresponding angles is: MNQ and PQS\boxed{\angle MNQ \text{ and } \angle PQS}

Do you want further details or have any questions?

Here are some related questions:

  1. What are alternate interior angles in this diagram?
  2. Can you identify any pair of vertically opposite angles?
  3. What are the alternate exterior angles in this diagram?
  4. How would you prove the lines MOMO and PRPR are parallel?
  5. Can corresponding angles be supplementary in some cases?

Tip: Corresponding angles are always congruent when two lines are parallel and a transversal cuts across them.

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Math Problem Analysis

Mathematical Concepts

Geometry
Parallel Lines
Transversals
Corresponding Angles

Formulas

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Theorems

Corresponding Angle Theorem

Suitable Grade Level

Grades 7-9