Cheat Sheet For Geometry

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Cheat Sheet for Geometry Midterm
(only includes official postulates, theorems, corollaries and formulas)
points, lines, planes, intersections,
Through any two points there is exactly one line.
Through any three noncollinear points there is exactly one plane containing them.
If two planes intersect, then they intersect in exactly one line.
If two lines intersect, then they intersect in exactly one point.
linear pairs, supplements,
complements, vertical angles, right angles
If two angles form a linear pair, then they are supplementary.
The sum of the measures of the angles of a linear pair is 180.
If two angles are supplementary to the same angle or to two congruent angles, then the two
angles are congruent.
If two angles are complementary to the same angle of to two congruent angles, then the two
angles are congruent.
All right angles are congruent.
Vertical angles are congruent.
parallel lines, angles formed by parallel lines and transversals,
perpendicular lines
If two parallel lines are cut by a transversal, then corresponding angles are congruent.
If two parallel lines are cut by a transversal, then alternate interior angles are congruent.
If two parallel lines are cut by a transversal, then alternate exterior angles are congruent.
If two parallel lines are cut by a transversal, then same side interior angles are
supplementary.
If two lines are cut by a transversal so that corresponding angles are congruent, then the
lines are parallel.
If two lines are cut by a transversal so that alternate interior angles are congruent, then the
lines are parallel.
(over)

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