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DEFINITIONS, POSTULATES, AND PROPERTIES Review HEY REMEMBER ME!!!!!!
SEGMENT ADDITION POSTULATE If B is between A and C then AB + BC = AC
ANGLE ADDITION POSTULATE If B is in the interior of ACD then: m ACB + m BCD = m ACD
DEFINITION OF CONGRUENCE If then AB = CD
DEFINITION OF AN ACUTE ANGLE Angle whose measure is between 0 and 90 degrees
DEFINITION OF AN OBTUSE ANGLE Angle whose measure is between 90 and 180 degrees
DEFINITION OF A RIGHT ANGLE Angle whose measure is 90 degrees
DEFINITION OF A STRAIGHT ANGLE Angle whose measure is 180 degrees
DEFINITION OF A MIDPOINT Point that divides a segment into two congruent parts
DEFINITION OF AN ANGLE BISECTOR Ray that divides an angle into two congruent adjacent angles
DEFINITION OF COMPLEMENTARY ANGLES 2 angles whose sum is 90
DEFINITION OF SUPPLEMENTARY ANGLES 2 angles whose sum is 180
DEFINITION OF PERPENDICULAR LINES If 2 lines are perpendicular then they form RIGHT angles.
LINEAR PAIR POSTULATE If two angles form a linear pair, then they are supplementary.
VERTICAL ANGLES THEOREM Vertical angles are congruent.
NEW THEOREMS & POSTULATES
RIGHT ANGLE CONGRUENCE THEOREM All right angles are congruent
C ONGRUENT SUPPLEMENTS THEOREM If two angles are supplementary to the same angle (or to congruent angles) then they are congruent.
CONGRUENT COMPLEMENTS THEOREM If two angles are complementary to the same angle (or to congruent angles) then they are congruent.
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
1.5 Exploring Angle Pairs 9/20/10
a location in space that has no size.
ANGLES Geometry 1.3a. State Standard: LG.1.G.4Geometry Apply, with and without appropriate technology, definitions, theorems, properties, and postulates.
1-5: Exploring Angle Pairs. Types of Angle Pairs Adjacent Angles Vertical Angles Complementary Angles Supplementary Angles Two coplanar angles with a:
Warm Up:. Linear Pair I: Two angles that share a common vertex and together make a straight line (180°). M: What is the missing measure?
2.6 – Proving Statements about Angles Definition: Theorem A true statement that follows as a result of other true statements.
Basic Definitions in Geometry
Proving the Vertical Angles Theorem
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.
2.3 Complementary and Supplementary Angles
SOME THEOREMS AND POSTULATES Fernando Rodriguez Buena Park HS Presented at CMC South Palm Springs, CA Nov. 4, 2005.
Points, Lines, and Planes Sections 1.1 & 1.2. Definition: Point A point has no dimension. It is represented by a dot. A point is symbolized using an upper-case.
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.
Chapter 1-4 Angles and Segments To Use and apply the Segment Addition Postulate and Angle Addition Postulate To classify angles.
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