Download Geometry 3.1

GEOMETRY 3.1
SWLT: Identify angle pairs formed by three
intersecting lines
TERMS:
• Parallel Lines:
• Lines that are both coplanar and do not intersect
• They have the same slope
• Skew Lines
• Lines that do not intersect, but are not coplanar
• Transversal
• A line that intersects two or more coplanar lines at different points
POSTULATES
• Parallel Postulate
• Perpendicular Postulate
• If there is a line and a
point not on the line, then
there is exactly one line
that is parallel to that line
at that given point
• If there is a line and a
point not on that line, then
there is exactly one line
through the point
perpendicular to the given
line
q

X
q

X
ANGLES FORMED BY TRANSVERSALS
• Corresponding Angles:
• Two angles that are in
corresponding positions
on both the transversal
and accompanying lines
t
1
m
5
•
1 & 5 are to the left of
the transversal and on the top
of their accompanying lines
n
ANGLES FORMED BY TRANSVERSALS
• Alternate Interior Angles:
• Two angles that are on the
opposite sides of the
transversal and lie between
the two accompanying lines
•
3 & 6 are on opposite or
alternating sides of the transversal
and lie on the inside of the two
accompanying lines
t
m
3
6
n
ANGLES FORMED BY TRANSVERSALS
• Alternate Exterior Angles:
• Two angles that are on the
opposite sides of the transversal
and lie on the outside of
accompanying lines
•
2 & 7 are on opposite or
alternating sides of the transversal
and lie on the outside of the two
accompanying lines
t
2
m
n
7
ANGLES FORMED BY TRANSVERSALS
• Consecutive Interior Angles: (AKA
Same Side Interior Angles)
• Two angles that are on the same
side of the transversal and lie
between the two accompanying
lines
t
m
4
6
•
4 & 6 are on the same side of
the transversal and lie on the inside
of the two accompanying lines
n
NAME TWO PAIRS OF THE FOLLOWING
• Corresponding Angles
• A & W; B & X
• C & Y; D & Z
h
s
• Alternate Interior Angles
• D & W; B & Y
• Alternate Exterior Angles
• A & Z; C & X
• Consecutive Interior Angles
• D & Y; B & W
p
A
C
B
D
W
Y
X
Z