Corresponding and Alternate Angles
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More Lessons for Grade 8 Math
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Examples, solutions, videos, worksheets, stories and songs to help Grade 8 students learn about parallel lines, transversal, corresponding angles, alternate interior angles and alternate exterior angles.
What are Corresponding Angles?
Corresponding angles are pairs of angles that are:
- On the same side of the transversal line.
- In the same relative position at each intersection point.
The following diagram gives examples of corresponding angle pairs. Scroll down the page for more examples and solutions.
Geometry Worksheets
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Printable & Online Geometry Worksheets
Visualizing with an “F” Shape:
A common way to remember corresponding angles is to look for an “F” shape (which can be normal, inverted, or reversed) formed by the two lines and the transversal. The angles inside the “F” that are in the same relative position are corresponding angles.
Relationship with Parallel Lines
The most important property of corresponding angles relates to parallel lines:
- Corresponding Angles Postulate (or Theorem): If two parallel lines are intersected by a transversal, then the corresponding angles are congruent (equal in measure).
- Converse of the Corresponding Angles Postulate: If two lines are intersected by a transversal and a pair of corresponding angles are congruent, then the two lines are parallel.
What if the Lines are NOT Parallel?
If the two lines intersected by the transversal are not parallel, then their corresponding angles will not be congruent. They will still be called “corresponding angles” based on their position, but they won’t have any special equality relationship.
Identify exterior and interior angles, supplementary, complementary and corresponding angles.
Helps describe the angle pairs formed by parallel lines and a transversal.
Looks at corresponding, alternate interior and same side interior angles
Transversals and parallel lines, alternate interior angles, alternate exterior angles, corresponding angles, vertical angles
Angles and Transversal Lines
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