DO NOW:•1. Write as a biconditional: If it is an egg
then it is green. •2.
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.
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
Ex. 1
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.
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.
Ex. 2
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.
•Corresponding Angles: two angles that have corresponding positions.
•Alternate Interior Angles: two angles that lie between the two lines on opposite sides of the transversal.
•Alternate Exterior Angles: two angles that lie outside the two lines and on opposite sides of the transversal.
•Consecutive Interior Angles: two angles that lie between the two lines and on the same side of the transversal.
Ex. 3
HW:•Pg.129 3-18, 24 a-c