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GPTC Chapter 1
A list of geometry postulates, theorems, and corollaries (GPTC) used in Holt, Rinehart and Winston's Holt California Geometry Chapter 1.
10
Mathematics
8th Grade
09/22/2010

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Term
Unique Line Postulate
Definition
Through any two points there is exactly one line.
Term
Unique Plane Postulate
Definition
Through any three noncollinear points there is exactly one plane containing them.
Term
Two-Points' Line Postulate
Definition
If two points lie in a plane, then the line containing those points lies in the plane.
Term
Line Intersection Postulate
Definition
If two lines intersect, then they intersect at exactly one point.
Term
Plane Intersection Postulate
Definition
If two planes intersect, then they intersect in exactly one line.
Term
Ruler Postulate
Definition
The points on a line can be put into a one-to-one correspondence with the real numbers.
Term
Segment Addition Postulate
Definition
If B is between A and C, then AB + BC = AC.
Term
Protractor Postulate
Definition
Given line AB and a point O and line AB, all rays that can be drawn from O can be put into a one-to-one correspondence with the real numbers from 0 to 180.
Term
Angle Addition Postulate
Definition
If S is in the interior of angle PQR, then m_PQS + m_SQR = m_PQR.
Term
Pythagorean Theorem
Definition
In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
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