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Geometry – Chapters 1, 2 and 3 Terms
Segment Addition Postulate
If B is between A and C,
Then AB + BC =AC
Definition of Congruent
Segments
Definition of Congruent Angles
Angle Addition Postulate
If AB = AD
Then AB  AD
If mBAC  mDEF
If P is in the interior of RST
Then BAC  DEF
Then
Definition of an Angle Bisector
If an angle is bisected,
(Such as ACB )
If A is a right angle
If a Segment is bisected
Then it is divided into 2 = angles
Definition of a Right Angle
Definition of a Segment Bisector
(such as AC )
Definition of a Midpoint
Definition of Complementary
Angles
Definition of Supplementary
Angles
Definition of Perpendicular Lines
Right Angle Congruence
Theorem
Linear Pair Postulate
Congruent Supplements
Theorem
Congruent Complements
Theorem
Vertical Angles Theorem
Parallel Postulate
mRSP  mPST  mRST
mACD  mBCD
then mA  90
Then it is divided into 2 =
segments AB = BC
Then it divides a segment into 2
= segments
AM+MB=AB
If the sum of the measures of the Then the angles are
angles is 90 degress
complementary
If the sum of the measures of the Then the angles are
angles is 180 degrees
supplementary
Two lines are perpendicular
If they intersect to form a right
angle
All right angles
Are congruent
If M is on AB
If 2 angles form a linear pair
A and B are a linear pair
If 2 angles are supplementary to
the same angle (or congruent
angles)
1 & 2 are supplementary
3 & 2 are suppplementary
If 2 angles are complementary to
the same angle (or congruent
angles)
1 & 2 are complementary
3 & 2 are complementary
Vertical Angles
If there is a line and a point not
on the line
Perpendicular Postulate
If there is a line and a point not
on the line
Theorem 3.1
If 2 lines intersect to form a
linear pair of congruent angles
If 1 & 2 are a linear pair &
1  2
Then they are supplementary
A and B are supplementary
Then they are congruent
1  3
Then they are congruent
1  3
Are congruent
Then there is exactly one line
through the point parallel to the
given line
Then there is exactly one line
through the point perpendicular
to the given line
Then the lines are perpendicular
g h
Geometry – Chapters 1, 2 and 3 Terms
Theorem 3.2
Theorem 3.3
If 2 sides of 2 adjacent acute
angles are perpendicular
If 2 lines are perpendicular
g h
Corresponding Angles Postulate
Alternate Interior Angles
Theorem
Consecutive Interior Angles
Theorem
Alternate Exterior Angles
Theorem
Perpendicular Transversal
Corresponding Angles Converse
Postulate
Alternate Interior Angles
Converse
Consecutive Interior Angles
Converse
Alternate Exterior Angles
Converse
“Parallel-Parallel Theorem” 3.11
“Perpendicular-Parallel
Theorem” 3.12
If 2 parallel lines are cut by a
transversal
If 2 parallel lines are cut by a
transversal
If 2 parallel lines are cut by a
transversal
If 2 parallel lines are cut by a
transversal
If a transversal is perpendicular
to one of two parallel lines
If two lines are cut by a
transversal so that
corresponding angles are
congruent
If two lines are cut by a
transversal so that alternate
interior angles are congruent
If two lines are cut by a
transversal so that consecutive
interior angles are
supplementary
If two lines are cut by a
transversal so that alternate
exterior angles are congruent
If 2 lines are parallel to the same
line,
p//q and q//r
In a plane, if 2 lines are
perpendicular to the same
m  p and n  p
Then the angles are
complementary
Then they intersect to form 4
right angles
Angles are right angles
Then the pairs of corresponding
angles are congruent.
The pairs of alternate interior
angles are congruent
The pairs of alternate interior
angles are supplementary
The pairs of alternate exterior
angles are congruent
Then it is perpendicular to the
other.
Then the lines are parallel
Then the lines are parallel
Then the lines are parallel
Then the lines are parallel
Then they are parallel to each
other
Then p//r
Then they are parallel to each
other
Then m//n
Geometry – Chapters 1, 2 and 3 Terms
Geometry – Chapters 1, 2 and 3 Terms