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.