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What are parallel lines?
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Parallel lines are lines in a plane that do not meet; they stay the same distance apart and are in the same plane.
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How can you identify a transversal?
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A transversal is a line that intersects two or more lines at distinct points.
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What is created when a transversal crosses parallel lines?
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When a transversal crosses parallel lines, it creates angles such as corresponding angles, alternate interior angles, and alternate exterior angles.
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What are corresponding angles?
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Corresponding angles are angles that are in the same relative position at each intersection where a transversal crosses two lines.
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What is the property of corresponding angles in parallel lines?
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In parallel lines, corresponding angles are equal.
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What are alternate interior angles?
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Alternate interior angles are pairs of angles on opposite sides of the transversal but inside the two lines.
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What is the property of alternate interior angles?
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Alternate interior angles are equal when the lines are parallel.
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What are alternate exterior angles?
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Alternate exterior angles are pairs of angles on opposite sides of the transversal but outside the two lines.
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What is the property of alternate exterior angles when lines are parallel?
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Alternate exterior angles are equal when the lines are parallel.
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How do you determine if two lines are parallel using angles?
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If a pair of corresponding angles are equal, then the lines are parallel.
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What is a linear pair of angles?
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A linear pair of angles is a pair of adjacent angles whose non-common sides are opposite rays.
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What can be said about the sum of a linear pair of angles?
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The sum of a linear pair of angles is 180 degrees.
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What are consecutive interior angles?
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Consecutive interior angles are pairs of angles on one side of the transversal but inside the two lines.
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What is true about consecutive interior angles if the lines are parallel?
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Consecutive interior angles are supplementary if the lines are parallel.
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How can parallel lines and transversals be used in real life?
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They are used in various real-life applications such as engineering, architecture, and designing roads and bridges, ensuring structures are level and even.
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