DEFINITIONS, POSTULATES, AND PROPERTIES
Review
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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
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 ANANGLE 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 CONGRUENCETHEOREM
All right angles are congruent
CONGRUENT 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.
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