do now: 1. write as a biconditional: if it is an egg then it is green. 2
DESCRIPTION
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 intersectTRANSCRIPT
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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 AnglesOBJ: 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