Math Problem Statement

Which angles are corresponding angles based on the parallel lines QS and TV and transversal WR?

Solution

In this diagram, the lines QSQS and TVTV are parallel, and WRWR is the transversal intersecting these lines. Corresponding angles are pairs of angles that are in matching corners when a transversal crosses two parallel lines.

To identify corresponding angles in this case:

  • QRU\angle QRU is an angle on the top-right of the transversal between the parallel lines.
  • The angle that corresponds to QRU\angle QRU on the lower parallel line TVTV would be VUW\angle VUW, as it occupies the same relative position on the other side of the transversal.

Therefore, the correct answer is:

QRU\angle QRU and VUW\angle VUW.

Would you like more details or have any questions about this?

Here are 5 related questions:

  1. What are alternate interior angles in this diagram?
  2. How do we find vertically opposite angles in this figure?
  3. What is the relationship between corresponding and alternate exterior angles?
  4. How would the sum of consecutive interior angles behave in parallel lines?
  5. How can you prove the lines are parallel using angles?

Tip: Corresponding angles are always congruent when two parallel lines are cut by a transversal.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Parallel Lines
Transversals
Corresponding Angles

Formulas

-

Theorems

Corresponding Angle Theorem

Suitable Grade Level

Grades 7-9