Math Problem Statement
MO and PR areparallellines.
L M N O P Q R S
Which angles are corresponding angles?
Solution
In this diagram, we have two parallel lines and , with a transversal 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 is inside the parallel lines and on the upper side of the transversal .
- The angle corresponding to on the other side of the transversal would be , as it is outside the parallel lines but on the same side of the transversal.
Therefore, the correct pair of corresponding angles is:
Do you want further details or have any questions?
Here are some related questions:
- What are alternate interior angles in this diagram?
- Can you identify any pair of vertically opposite angles?
- What are the alternate exterior angles in this diagram?
- How would you prove the lines and are parallel?
- 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
-
Theorems
Corresponding Angle Theorem
Suitable Grade Level
Grades 7-9
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