lesson 3-1 parallel lines and...
TRANSCRIPT
Lesson 31 Parallel Lines and Transversals.notebook
1
February 18, 2015
Lesson Objectives Teacher's Notes Lesson Notes
Geometry: Lines and Angles
1) Identify parallel, perpendicular, and skew lines.
2) Identify angles formed by two line and a transversal.
Parallel Lines
Parallel lines never intersect. These lines are parallel:
m
n
Line m is parallel to line n.m II n
in words...
in symbols...
Lesson 31 Parallel Lines and Transversals.notebook
2
February 18, 2015
Perpendicular lines intersect at 90ο angles.
Perpendicular and Skew Lines
Line m is perpendicular to line n.in words...
in symbols...
Skew lines do not intersect and are not coplanar.
example... &
Parallel Planes are planes that do not intersect.
example... Plane ABCD & Plane EFGH
Parallel lines
Transversal line
A transversal is a line that intersects at least two other lines. The intersected lines are usually parallel.
Transversal
Parallel line symbol
Lesson 31 Parallel Lines and Transversals.notebook
3
February 18, 2015
t
j
k
1 23 4
5 67 8
The transversal t and the other lines, j and k, form 8 angles.
Transversal
Interior angles lie in between the parallel lines. Exterior angles lie outside the parallel lines
Corresponding Angles
Corresponding angles lie on the same side of the transversal t, on the same side of lines j and k.
a bCan you move the letters to mark
corresponding angles?
tj
k
Lesson 31 Parallel Lines and Transversals.notebook
4
February 18, 2015
Alternate Interior Angles
Alternate interior angles are nonadjacent angles that lie on opposite sides of the transversal t, between lines j and k
t
j
k
a bCan you move the letters to mark
alternate interior angles?
Alternate Exterior Angles
Alternate exterior angles lie on opposite sides of the transversal t, outsides lines j and k.
t
j
k
a bCan you move the letters to mark
alternate exterior angles?
Lesson 31 Parallel Lines and Transversals.notebook
5
February 18, 2015
Consecutive Interior Angles
t
j
k
Consecutive interior angles or sameside interior angles lie on the same side of the transversal t, between lines j and k.
a bCan you move the letters to mark
sameside interior angles?