Flash Cards
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What are parallel lines?
Parallel lines are lines in a plane that never meet and are always the same distance apart.
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What are intersecting lines?
Intersecting lines are lines that cross each other at one point.
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What is a key property of parallel lines?
If two parallel lines are cut by a transversal, then corresponding angles are equal.
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What is a transversal?
A transversal is a line that intersects two or more lines at distinct points.
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What angles do a transversal create with parallel lines?
A transversal creates corresponding angles, alternate interior angles, and same-side interior angles.
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What is the Corresponding Angles Postulate?
If a transversal intersects two parallel lines, then each pair of corresponding angles is equal.
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What does the Alternate Interior Angles Theorem state?
If a transversal intersects two parallel lines, then each pair of alternate interior angles is equal.
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Give an example of parallel lines.
Railroad tracks are an example of parallel lines as they never meet.
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What types of angles are formed when a transversal crosses parallel lines?
Corresponding angles, alternate angles, and same-side interior angles are formed.
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What is a straight angle?
A straight angle measures 180 degrees and forms a straight line.
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What is a common mistake regarding angles of parallel lines?
Assuming that angles formed by a transversal are all equal; only certain pairs are equal.
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How can you check if lines are parallel?
You can use a ruler to check if they are equal distance apart or check the angles formed by a transversal.
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What are complementary angles?
Complementary angles are two angles whose sum is 90 degrees.
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What are supplementary angles?
Supplementary angles are two angles whose sum is 180 degrees.
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How can coordinates help in identifying parallel lines?
If two lines have the same slope in coordinate geometry, they are parallel.
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What is an angle?
An angle is formed by two rays sharing a common endpoint called the vertex.
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What are interior angles?
Interior angles are the angles formed on the inside of parallel lines when cut by a transversal.
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What are exterior angles?
Exterior angles are formed on the outside of parallel lines when cut by a transversal.
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What can angle measures indicate about lines?
The measures of angles can indicate whether lines are parallel based on the angle relationships established.
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What is significant about the sum of angles formed by a transversal?
The sum of the angles on the same side of the transversal is supplementary, equal to 180 degrees.
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