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Parallel Lines And Traversals

Published in: Mathematics
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Parallel Lines and Traversals explained.

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    Parallel Lines & Transversals
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    1. Activator Problem Given: is parallel to s angle 1 60 degrees Find the measures of the other seven angles in the accompanying figure (below) t 1 4 2 3 Solution: m
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    Perpendicular and Parallel Lines BrainPop click here Mr. Vauqh's flash movi lick here
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    Congruent Angles Congruent Angles Congruent Angles have the satne angle in degrees. That's all. 1100 1100 These angles are congruent.
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    More Definitions Perpendicular lines are lines that intersect at right angles. Parallel lines are lines that never intersect. kransversal is a line that intersects two or more lines.
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    Special Types of Angles Click here to interact: O Transversal OParallel Lines O Vertical Angles O Corresponding Angles O Alternate Interior Angles O Alternate Exterior Angles O Consecutive Interior Angles a c h
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    Vertical Angles Vertical Angles Vertical Angles are the angles opposite each other when twa lines cross They are called "Vertical" because they share the satne Vertex (or corner point) In this example, ao and bo are vertical angles. The interesting thing here is that vertical angles are equal: (in fact they are congruent angles)
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    Corresponding Angles Corresponding Angles A'hen two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. In this example, these are corresponding angles: a and e g b c h
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    Alternate Interior Angles Alternate Interior Angles When two lines are crossed by another line (which is called the Transversal), the pairs of angles on opposite sides of the transversal but inside the twa lines are called Alternate Interior Angles, In this example, these are Alternate Interior Angles: b d (Ta help vau remember: of the Transversal, and crossed lines) d and e the angle pairs are an "Alternate" sides they are on the "Interior" of the two g c h
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    Summary Parallel lines are lines that never meet. Perpendicular lines meet at right angles. A transversal is a line that intersects 2 or more (parallel) lines. Parallel lines cut by a transversal form 8 angles. Pairs of angles will be either congruent or upplementary. Special pairs of-angles congruent. — Vertical angles — Corresponding angles — Alternate Interior Angles
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    Your turn! Find the measure of the other angles. 1050
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    Try this one! Solve for a, b, c, d, x, y and z a - 10 650 b Y + 20


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