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Questions and Answers
What are alternate exterior angles?
What is the definition of a transversal?
A line that intersects 2 or more coplanar lines at 2 different points.
What do consecutive interior angles lie between?
What is the definition of alternate interior angles?
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Corresponding angles are always congruent if two parallel lines are cut by a transversal.
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What are the consequences of having consecutive interior angles?
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What are alternate exterior angles?
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Which statement is true for corresponding angles?
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Study Notes
Angle Definitions and Properties
- Alternate Exterior Angles: Located outside two parallel lines, on opposite sides of a transversal.
- Alternate Interior Angles: Found between two parallel lines, on opposite sides of the transversal.
- Transversal: A line that intersects two or more coplanar lines at different points, creating various angle relationships.
- Consecutive Interior Angles: Lie between two parallel lines on the same side of the transversal and are supplementary when the lines are cut by the transversal.
- Corresponding Angles: Pairs of angles formed by a transversal cutting through parallel lines, which are congruent.
Key Characteristics
- Alternate angles (both interior and exterior) are crucial in determining angle relationships when discussing parallel lines and transversals.
- Consecutive Interior angles add up to 180 degrees due to the parallel line property.
- Understanding these angle relationships aids in solving geometric problems and proving theorems related to parallel lines.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your understanding of alternate interior and exterior angles with these flashcards. Each card provides definitions and key concepts to help reinforce your knowledge. Perfect for visual learners and geometry students.
