Angle Pair Relationships and
Angle Bisectors
Segment Addition Postulate
• If B is between A and C, then AB +BC = AC.
Practice
Vertical Angles
• Angles formed
by opposite rays.
<2
<4
Adjacent Angles
• Angles that share a common
side and a common vertex,
but have no common interior points.
<2
<4
Complementary Angles
• Two angles whose measures have a sum of 90
degrees.
•
<2
Supplementary Angles
• Two angles whose measures have a sum of 180
degrees.
•
135
<4
?
Linear Pair
• Two angles that when adjacent form a line
Identify the Angles
1. Name a pair of vertical angles.
2. Name a pair of adjacent
Angles.
3. Name a pair of complementary angles.
4. Name a pair of supplementary angles.
Looking at a Diagram
When looking at a diagram, we can
conclude:
• Vertical angles
• Adjacent angles
• Adjacent supplementary angles
We cannot assume:
• Angles or segments are congruent
• Angles are right angles
• Lines are parallel or perpendicular
**(unless there are marks that give this
information)
What can you conclude from the
diagram?
Vertical Angles
• What angles are considered vertical angles?
• What could you hypothesize about vertical
angles based off of the diagram above?
▫ VERTICAL ANGLES ARE EQUAL!!
Find the value of x
Find the value of x
Angle Bisector
An angle bisector is a
segment through the
vertex of an angle that
divides the interior of
the angle into two
congruent parts.
Example 1
Example 2
In Class Work!
• Kagan pg 18 & 21
Homework
• Worksheet 18 & 22