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P2 - The Segment Addition Postulate
AB + BC = AC (part + part = whole)
(part + part = whole)
P4 - The Angle Addition Postulate
P13 - Parallel Postulate
parallel to the given line.
P14 - Perpendicular Postulate
perpendicular to the given line.
congruent.
All right angles are
are parallel.
P16 - Corresponding Angles Converse
parallel
lines in the plane that are the same distance apart
perpendicular
two lines that intersect and form a right angle are
the triangles are congruent.
P19 - SSS Triangle Congruence
Segment Addition Postulate (Postulate 2)
If B is between A and C, then AB+BC=AC, then B is between A and C.
Angle Addition Postulate (Postulate 4)
If p is in the interior of angle RST, then the measure of angle RSP+ the measure of angle PST.
Linear Pair Postulate (Postulate 12)
If two angles form a linear pair, the they are supplementary.
Parallel Postulate (Postulate 13)
If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line.
Perpendicular Postulate (Postulate 14)
If there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line.
Corresponding Angles Postulate (Postulate 15)
If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
Corresponding Angles Converse (Postulate 16)
If two lines are cut by a transversal so the corresponding angles are congruent, then the lines are parallel.
Slopes of Parallel Lines (Postulate 17)
In a coordinate plane, two nonvertical lines are parallel if and only if they have the same slope. Any two vertical lines are parallel.
Slopes of Perpendicular Lines (Postulate 18)
In a coordinate plane, two nonvertical lines are perpendicular if and only if the product of their slopes is -1. Horizontal lines are perpendicular to vertical lines.
Side-Side-Side (SSS) Congruence Postulate (Postulate 19)
If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent.
Side-Angle-Side (SAS) Congruence Postulate (Postulate 20)
If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent.
Angle-Side-Angle (ASA) Congruence Postulate (Postulate 21)
If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are similar.
Angle-Angle (AA) Similarity Postulate (Postulate 22)
IF two angles on one triangle are congruent to two angles of another triangle, then the two triangles are similar.
Arc Addition Postulate (Postulate 23)
The measure of an arc formed by two adjacent arcs is the sum of the measures of the two arcs.
Area of a Square Postulate (Postulate 24)
The area of a square is the square of the length of its side or A=s^2.
Area Congruence Postulate (Postulate 25)
If two polygons are congruent, then they have the same area.
Area Addition Postulate (Postulate 26)
The area of a region is the sum of the areas of its nonoverlapping parts.
Volume of a Cube (Postulate 27)
The volume of a cube is the cube of the length of its side, or V=s^3.
Volume Congruence Postulate (Postulate 28)
If two polyhedral are congruent, then they have the same volume.
Volume Addition Postulate (Postulate 29)
The volume of a solid is the sum of the volumes of all its nonoverlapping parts.