Notes Theorems Definitions Postulates Info Contact Me
Postulates
are things that you can assume. They are NOT always reversible.
Some examples are SSS, SAS, and ASA.
Postulate
1: Any segment or angle is congruent to itself. (Reflexive
Property)
Postulate
2: If there exists a correspondence between the vertices of
two triangles such that three side of one triangle are congruent
to the corresponding parts of the other triangle, then the two
triangles are congruent. (SSS)
Postulate
3: If there exists a correspondence between the vertices of
two triangles such that two sides and the included angle of one
triangle are congruent to the corresponding parts of the other
triangle, then the two triangles are congruent. (SAS)
Postulate
4: If there exists a correspondence between the vertices of
two triangles such that two angles and the included side of one
triangle are congruent to the corresponding parts of the other
triangle, then the two triangles are congruent. (ASA)
Postulate
5: Two points determine a line (or ray or
segment).
Postulate
6: If there exists a correspondence between the vertices of
two right triangles such that the hypotenuse and a leg of one
triangle are congruent to the corresponding parts of the other
triangle, then the two triangles are congruent. (HL)
Postulate
7: A line segment is the shortest path between two
points.
Postulate
8: Through a point not on a line there is exactly one parallel
to the given line. (Parallel Postulate)
Postulate
9: Three noncollinear points determine a plane.
Postulate
10: If a line intersects a plane not containing it, then the
intersection is exactly one point.
Postulate
11: If two planes intercept, then their intersection is
exactly one line.
Postulate
12: If there exists a correspondence between the vertices of
two triangles such that the three angles of one triangle are
congruent to the corresponding angles of the other triangle, then
the triangles are similar. (AAA)
Postulate
13: A tangent line is perpendicular to the radius drawn to the
point of contact.
Postulate
14: If a line is perpendicular to the radius at its outer
endpoint, then it is tangent to the circle.
Postulate
15: Circumference of a circle = pie time diameter.
Postulate
16: The area of a rectangle is equal to the product of the
base and the height for that base.
Postulate
17: Every closed region has an area.
Postulate
18: If two closed figures are congruent, then their areas are
equal.
Postulate
19: If two closed regions intersect only along a common
boundary, then the area of their union is equal to the sum of
their individual areas.
Postulate
20: The area of a circle is equal to the product of pie and
the square of the radius.
Postulate
21: Total area of a sphere = 4 times pie time r, where r is
the sphere's radius.
Postulate
22: The volume of a right rectangular prism is equal to the
product of its length, its width, and its height.
Postulate
23: For any two real numbers x and y, exactly one of the
following statements is true: x<y, x=y, or x>y. (Law of
Trichotomy)
Geometry
Page
By: Matt B.
Created:
October, 2004
Background From: Adrian
Bruce
All
works copyrighted (c) 2004 Kristin Wilmot, all rights
reserved
Content copyrighted (c) McDougal Littell
Some
files one this page might require Adobe Acrobat Reader 6. To get
it, please click the icon below.
