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2-5 Proving Angles Congruent
Vertical Angles Angles formed by opposite rays.
Adjacent Angles Angles that share a common side and a common vertex,but have no common interior points.
Complementary Angles Two angle whose measures have a sum of 90 degrees. or
Supplementary Angles Two angles whose measures have a sum of 180 degrees. or
Identify the Angles Name a pair of vertical angles. Name a pair of adjacent Angles. Name a pair of complementary angles. 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 congruentAngles are right angles Lines are parallel or perpendicular (unless there are marks that give this information)
What can you conclude from the diagram?
Angle Investigation Draw two intersecting lines.Number the angles as shown. Use a protractor to measure each angle. Make a conjecture about vertical angles.
Find the value of x
Find the value of x
Congruent Complements TheoremIf two angles are complementary to the same angle (or congruent angles), then the two angles are congruent.
Congruent Supplements TheoremIf two angles are supplementary to the same angle (or congruent angles), then the two angles are congruent.
All right angles are congruent.
Congruent and Supplementary
Find the value of both variables.
Find the value of x.
Find the measure of each angle.
Find the measure of each angle.m1 m2 m3 m4
1.5 Angle Relationships.
Adjacent, Vertical, Supplementary, and Complementary Angles
Lines, Segments, and Rays. Line A line is perfectly straight and extends forever in both directions. Any two points on the line can be used to name.
Proving Angles Congruent. Vertical Angles: Two angles whose sides form two pairs of opposite rays; form two pairs of congruent angles
Standard 2.0, 4.0. Angles formed by opposite rays.
Proving Angles Congruent
Adjacent, Vertical, Supplementary, Complementary and Alternate, Angles.
Chapter 12 and Chapter 3 Geometry Terms.
Lesson 9.2 Angle Relationships and Parallel Lines
1-5: Exploring Angle Pairs. Types of Angle Pairs Adjacent Angles Vertical Angles Complementary Angles Supplementary Angles Two coplanar angles with a:
Basic Definitions in Geometry
Adjacent, vertical, complementary and supplementary angles
Section 1.6 Pairs of Angles
1-5 Angle Relationships What are: adjacent angles linear pairs
GEOMETRY PRE-UNIT 4 VOCABULARY REVIEW ALL ABOUT ANGLES.
Section 2.7 PROVE ANGLE PAIR RELATIONSHIPS. In this section… We will continue to look at 2 column proofs The proofs will refer to relationships with angles.
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.
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