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DO NOW: 1. Write as a biconditional: If it is an egg then it is green. 2.
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3.1 Pairs of Lines and Angles OBJ: The student will be able to identify lines, planes, parallel liens, perpendicular, and pairs of angles formed by transversal.
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Definitions Parallel Lines: two lines that do not intersect and are coplanar. Skew Lines: two lines that do not intersect and are not coplanar. Parallel Planes: two planes that do not intersect
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Ex. 1
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Postulate 3.1 Parallel Postulate: If there is a line and a point not on the line, then there exists exactly one line through the point parallel to the given line. There is exactly one line through P parallel to l.
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Postulate 3.2 Perpendicular Postulate: If there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line. There is exactly one line through P perpendicular to l.
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Ex. 2
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Transversals Transversal: a line that intersects two or more coplanar lines at different points There are 4 types of angles formed by transversals: corresponding, alternate interior, alternate exterior, and consecutive interior angles.
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Corresponding Angles: two angles that have corresponding positions.
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Alternate Interior Angles: two angles that lie between the two lines on opposite sides of the transversal.
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Alternate Exterior Angles: two angles that lie outside the two lines and on opposite sides of the transversal.
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Consecutive Interior Angles: two angles that lie between the two lines and on the same side of the transversal.
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Ex. 3
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HW: Pg.129 3-18, 24 a-c
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