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Questions and Answers
What are alternate exterior angles?
What are alternate exterior angles?
- Angles that are formed by a transversal intersecting parallel lines
- Angles that lie in the region between 2 lines on opposite sides of the transversal
- Angles that are supplementary when lines are parallel
- Angles that lie in the region outside of 2 lines on opposite sides of the transversal (correct)
What is the definition of a transversal?
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 do consecutive interior angles lie between?
- Two non-parallel lines
- Two parallel lines on the same side of the transversal (correct)
- Two intersecting lines
- Two parallel lines on opposite sides of the transversal
What is the definition of alternate interior angles?
What is the definition of alternate interior angles?
Corresponding angles are always congruent if two parallel lines are cut by a transversal.
Corresponding angles are always congruent if two parallel lines are cut by a transversal.
What are the consequences of having consecutive interior angles?
What are the consequences of having consecutive interior angles?
What are alternate exterior angles?
What are alternate exterior angles?
Which statement is true for corresponding angles?
Which statement is true for corresponding angles?
Flashcards
Alternate Exterior Angles
Alternate Exterior Angles
Angles outside two parallel lines on opposite sides of the transversal.
Transversal
Transversal
A line that crosses two or more coplanar lines at different points.
Consecutive Interior Angles
Consecutive Interior Angles
Interior angles between two parallel lines that are on the same side of the transversal.
Alternate Interior Angles
Alternate Interior Angles
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Corresponding Angles (Parallel Lines)
Corresponding Angles (Parallel Lines)
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Consecutive Interior Angles (Relationship)
Consecutive Interior Angles (Relationship)
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Corresponding Angles Congruence
Corresponding Angles Congruence
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Alternate Exterior Angles Congruence
Alternate Exterior Angles Congruence
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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.
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