Angle Pair Relationships and Angle Bisectors. If B is between A and C, then + = AC. Segment Addition Postulate AB BC.

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Presentation transcript:

Angle Pair Relationships and Angle Bisectors

If B is between A and C, then + = AC. Segment Addition Postulate AB BC

Practice

Angles formed by opposite rays. Vertical Angles <2 <4

Angles that share a common side and a common vertex, but have no common interior points. Adjacent Angles <2 <4

Two angles whose measures have a sum of 90 degrees. Complementary Angles <2

Two angles whose measures have a sum of 180 degrees. Supplementary Angles <4

Linear Pair Two angles that when adjacent form a line

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. Identify the Angles

When looking at a diagram, we can conclude: Vertical angles Adjacent angles Adjacent supplementary angles Looking at a Diagram

Angles or segments are congruent Angles are right angles Lines are parallel or perpendicular **(unless there are marks that give this information) We cannot assume:

What can you conclude from the diagram?

What angles are considered vertical angles? What could you hypothesize about vertical angles based off of the diagram above? ▫VERTICAL ANGLES ARE EQUAL!! Vertical Angles

Find the value of x

An angle bisector is a segment through the vertex of an angle that divides the interior of the angle into two congruent parts. Angle Bisector

Example 1

Example 2

In Class Work! Kagan pg 18 & 21

Homework Worksheet 18 & 22