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Geometry Section 1.6 Special Angle Pairs
Two angles are adjacent angles if Two angles are vertical angles if
While a postulate is a theorem is a
Theorem 2.6: Vertical Angle Theorem:
Complementary angles are two angles whose measures have a sum of 90 degrees. Each angle is called a __________ of the other. complement
Supplementary angles are two angles whose measures have a sum of 180 degrees. Each angle is called a ___________ of the other. supplement
Example 1: Complete the chart.
Example 3: The measure of an angle is 10 less than three times the measure of its complement. Find the measure of both angles.
A linear pair is two angles which share a side in common and whose noncommon sides form a straight line.
Linear Pair Postulate If two angles form a linear pair, then they are supplementary.
Example 4: Name all angles that form a linear pair with.
Standard 2.0, 4.0. Angles formed by opposite rays.
2-8: Proving Angle Relationships
1.5 Exploring Angle Pairs 9/20/10
2.6 – Proving Statements about Angles Definition: Theorem A true statement that follows as a result of other true statements.
DEFINITIONS, POSTULATES, AND PROPERTIES Review HEY REMEMBER ME!!!!!!
Angles (def) An ACUTE ANGLE is an angle w/ a MEASURE less than 90° (def) A Right angle is an angle w/ a MEASURE = 90° (def) An Obtuse angle is an angle.
Section 1.6 Pairs of Angles
2.3 Complementary and Supplementary Angles
1.5 Describe Angle Pair Relationships
Angle Pair Relationships
Angle Relationships Section 1-5 Adjacent angles Angles in the same plane that have a common vertex and a common side, but no common interior points.
SPECIAL PAIRS OF ANGLES. Congruent Angles: Two angles that have equal measures.
2.4 Vertical Angles. Vertical Angles: Two angles are vertical if they are not adjacent and their sides are formed by two intersecting lines.
Proving Angle Relationships
Geometry Section 1.5 Describe Angle Pair Relationships.
L.T. I can identify special angle pairs and use their relationships to find angle measure.
Vertical angles – are not adjacent, and their sides are formed by two intersecting lines 1 and 3 are vertical angles 2 and 4 are vertical angles.
GEOMETRY Section 1.5: Angle Relationships. Adjacent angles - two angles that lie in the same plane and have a common vertex and common side, but no common.
P. 114: 23 – 28. Given Transitive prop. congruence Definition of congruence Given Transitive prop. Equality/Substitution.
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