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Flash Cards: Parallel and Intersecting Lines

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Parallel and Intersecting Lines - Flash Cards

These flash cards cover important concepts from Parallel and Intersecting Lines in Ganita Prakash for Class 7 (Mathematics).

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What are parallel lines?

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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?

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Intersecting lines are lines that cross each other at one point.

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What is a key property of parallel lines?

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If two parallel lines are cut by a transversal, then corresponding angles are equal.

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What is 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 angles do a transversal create with parallel lines?

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A transversal creates corresponding angles, alternate interior angles, and same-side interior angles.

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What is the Corresponding Angles Postulate?

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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?

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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.

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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?

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Corresponding angles, alternate angles, and same-side interior angles are formed.

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What is a straight angle?

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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?

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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?

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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?

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Complementary angles are two angles whose sum is 90 degrees.

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What are supplementary angles?

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Supplementary angles are two angles whose sum is 180 degrees.

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How can coordinates help in identifying parallel lines?

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If two lines have the same slope in coordinate geometry, they are parallel.

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What is an angle?

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An angle is formed by two rays sharing a common endpoint called the vertex.

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What are interior angles?

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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?

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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?

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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?

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The sum of the angles on the same side of the transversal is supplementary, equal to 180 degrees.