Download Adjacent Angles

Perpendicular Lines
Special intersecting lines that form right angles
Adjacent Angles
Angles in the same plane that have a common vertex and
common side, but no common interior points
Vertical Angles
Two non-adjacent angles formed by two intersecting lines
Perpendicular Lines
Perpendicular Lines
Special intersecting lines that form right angles
Adjacent Angles
Angles in the same plane that have a common vertex and
common side, but no common interior points
Adjacent Angles
Perpendicular Lines
Special intersecting lines that form right angles
Adjacent Angles
Angles in the same plane that have a common vertex and
common side, but no common interior points
Vertical Angles
Two non-adjacent angles formed by two intersecting lines
1
3
4
2
Vertical Angles
Linear Pair
Adjacent angles whose non-common sides are opposite rays
Linear Pair
Linear Pair
Adjacent angles whose non-common sides are opposite rays
Supplementary Angles
Two angles whose measures have a sum of 180 degrees
1
2
Supplementary Angles
Linear Pair
Adjacent angles whose non-common sides are opposite rays
Supplementary Angles
Two angles whose measures have a sum of 180 degrees
Complementary Angles
Two angles whose measures have a sum of 90 degrees
Complementary Angles
Notes
Vertical angles are congruent
The sum of the measures of the angles in a linear pair is 180
Means perpendicular
M
N Means M is perpendicular to N
Notes
If a line is perpendicular to a plane, then that line is perpendicular
to every line in the plane that it intersects
N
M
O
Q
P
L
From this picture, you CAN assume
L, P, and Q are collinear
All points shown are coplanar
Rays PM, PN, PO, and LQ intersect at P
P is between L and Q
N is in the interior of angle MPO
Angle LPQ is a straight angle
N
M
O
Q
P
L
From this picture, you CANNOT assume
Angle QPO is congruent to angle LPM
Angle OPN is congruent to angle LPM
Ray PN is perpendicular to ray PM
Ray LP is congruent to ray PQ
Ray PQ is congruent to ray PO
Angle QPO is congruent to angle OPN
Checking for Understanding
J
G
I
H
K
From the picture, find the value of x
Angle GIJ = 9x –4 and angle JIH = 4x -11
Checking for Understanding
2
1
3
4
5
Angle 1 and angle 4
Angle 1 and angle 2
Angle 3 and angle 4
Angle 1 and angle 5