1. Ruth Bane http://ruthbanesclassroom.weebly.com/ EDU-225 10/17/2015
Postulates
Ruth Bane
EDU-225
10/17/2015

2. Postulates
A postulate is “A statement, also known as an axiom, which is taken to be true without proof. Postulates are the basic structure from which lemmas and theorems are derived (Weisstein, n.d).”
There are Five different postulates that prove two triangles in a problem are congruent to each other. These five postulates are as follows; SSS (side/side/side), SAS (side/angle/side), ASA (angle/side/angle), AAS (angle/angle/side), and HL (Hypotenuse/Leg).

3. Postulates SSS SSS Postulate = Side/Side/Side.
(Hartman L, 2014)

4. Postulates SAS SAS = Side/Angle/Side.
Can prove if two triangles are congruent to each other if two of the sides and one angle on each of the triangles are the exact same. The angle does have to be in the middle of the two sides that are congruent on both triangles.
The two triangles in this example are congruent to each other by SAS postulate.

5. Postulates SAS https://www.youtube.com/watch?v=6XByNnzZ6jw
(Castaneda, 2012)

6. Postulates ASA ASA Postulate = Angle/Side/Angle.
If an angle, one side, and another angle are congruent to an angle, one side, and another angle on the second triangle in a problem, the two triangles are congruent to one another.
In this example, the two triangles can proven to be congruent to each other by ASA postulate.

7. Postulates AAS AAS Postulate = Angle/Angle/ Side.
If two angles and one side are congruent to two angles and one side on another triangle in a problem, the two triangles are congruent to each other.
In this example, the two triangles can be proven to be congruent to each other by AAS postulate.

8. Postulates HL HL Postulate = Hypotenuse/ Leg.
If the hypotenuse and the leg of a right triangle are the same to the hypotenuse and the leg of the another right triangle in a problem then both triangles are congruent to each other.
In this example the two triangles can be proven to be congruent to each other by HL postulate.

9. Postulates
(Roskin, 2014)

10. References
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Weisstein, Eric W. "Postulate." From MathWorld--A Wolfram Web Resource.
Hartman L. (October 17, 2014). SSS Congruence Postulate. Video Retrieved from
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Castaneda K. (July 19, 2012). SAS Triangle Congruence Postulate Explained. Video Retrieved from
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Roskin R. (December 10, 2014). Ain't Geometry Fun Video Retrieved from