Transcript Applied Geometry

Geometry
Lesson 3 – 1
Parallel Lines and
Transversals
Objective:
Identify the relationships between two lines or two planes.
Name angle pairs formed by parallel lines and transversals.
Parallel Lines
Parallel lines
 Coplanar
lines that do not intersect.
Parallel Planes
Parallel Planes
 Planes
that do not intersect.
Skew Lines
Skew lines
 Lines
that do not intersect and are not
coplanar.
Identify each of the following.
All segments parallel to JP
KQ & LR
A segment skew to KL
JP, PR, or PQ
A plane parallel to plane PQR
plane JKL
Identify each of the following.
All segments skew to BC
AF , DE , FG, HE
A segment parallel to EH
FG, AB, or CD
All planes parallel to plane DCH
Plane ABG
Transversal
Transversal
A
line that intersects two or more
coplanar lines at two different points.
Interior angles
Exterior angles
Consecutive angles
Alternate interior angles
Alternate exterior angles
Corresponding angles
You must
memorize these
relationships!
Classify the relationship between each pair
of angles as alternate interior, alternate
exterior, corresponding, or consecutive
interior angles.
•
1& 5
Alt. Ex.
•
6 & 7
Cons. Int.
Either
write out
the full word(s)
or use these
abbreviations.
2 & 4
Corr.
2 & 6
Alt. Int.
Classify the relationship between each pair
of angles as alternate interior, alternate
exterior, corresponding, or consecutive
interior angles.
•
3 & 7
Alt. Int.
•
5 & 7
Corr.
Either
write out
the full word(s)
or use these
abbreviations.
8 & 4
Alt Ex.
2 & 3
Cons. Int.
Corr.
Cons. Int.
Alt. Ex.
Alt. Int.
Identify the transversal connecting each pair
of angles in the photo. Then classify the
relationship between each pair of angles.
1& 3
Transversal:
Alt. Ex.
h
5 & 6
Transversal:
Cons. Int.
2 & 6
k
Transversal: 
Corrs.
Is c a transversal?
No, because it does not intersect at 2 points.
Homework
Pg. 173 1 – 12 all, 14 – 42 E
Quiz tomorrow over memorizing
angle relationships!