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THEOREMS AND POSTULATES OF GEOMETRY!!
Theorem/
Postulate
Supplementary
Angle Theorem
Complimentary
Angle Theorem
Straight Angle
Postulate
Whole and Parts
Postulate
Vertical Angles
Theorem
Parallel Lines
Postulate
Parallel Lines
Theorem 1 (alt.
interior angles)
Parallel Lines
Theorem 2 (cointerior angles)
Parallelogram
Angle Theorem 1
Description
If two angles are supplements of the
same angle, then they are equal in
measure
If two angles are compliments of the
same angle, then they are equal in
measure
If the sides of an angle for a straight
line, then the angle is a straight angle
with a measure of 180 degrees
For any segment or angle, the measure
of the whole is equal to the sum of its
non-overlapping parts
Vertical angles are equal in measure
If two parallel lines are intersected by
a transversal, then corresponding
angles are equal in measure
If two parallel lines are intersected by
a transversal, then alternate interior
angles are equal in measure
If two parallel lines are intersected by
a transversal, then co-interior angles
are supplementary
If a quadrilateral is a parallelogram,
then the consecutive angles are
supplementary
Picture!
Parallelogram
Angle Theorem 2
If a quadrilateral is a parallelogram,
then opposite sides are equal in
measure
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