DEFINITIONS, POSTULATES, AND PROPERTIES Review HEY REMEMBER ME!!!!!!

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Presentation transcript:

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.