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(Ch 1 & 2) Basic Postulates

(McDougal/Littell, California Edition, 2001) Match the words with the grahpics to remember the basic postulates of geometry.

AB
Through any two points, there is EXACTLY ONE line.
A line contains AT LEAST 2 points.
Through any 3 noncollinear points, there is EXACTLY ONE plane.
A plane contains at least 3 NONCOLLINEAR points.
If 2 points lie in a plane, then the ENTIRE line containing those 2 points lies in that plane.
If 2 planes intersect, then their intesection is a line.
If 2 lines intersect, then they intersect at EXACTLY ONE point.
If B is between A and C, then AB + BC = AC.
If C is in the interior of angle BAD, then the measure of angle BAD=the measure of angle BAC+CAD.
Reflexive Property of Segment CongruenceFor any segment AB, segment AB is congruent to segment AB
Symmetric Property of Segment CongruenceIf segment AB is congruent to segment CD, then segment CD is congruent to segment AB
Transitive Property of Segment CongruenceIf segment AB is congruent to segment CD, and segment CD is congruent to segment EF, then segment AB is congruent to segment EF
Reflexive Property of Angle CongruenceFor any angle A, angle A is congruent to angle A
Symmetric Property of Angle CongruenceIf angle A is congruent to angle B, then angle B is congruent to angle A
Transitive Property of Angle CongruenceIf angle A is congruent to angle B and angle B is congruent to angle C, then angle A is congruent to angle C
Right Angle Congruence TheoremAll right angles are congruent
Congruent Supplements Theorem-If two angles are supplementary to the same angle (or to congruent angles) then they are congruentadd image for this question
Congruent Complements Theorem-If two angles are complementary to the same angle (or to congruent angles) then the two angles are congruentadd image for this question
Linear Pair Postulate-If two angles form a linear pair, then they are supplementaryadd image for this question
Vertical Angles Theorem-Vertical angles are congruentadd image for this question
Addition Property of EqualityIf a = b, then a + c = b + c
Subtraction Property of EqualityIf a = b, then a - c = b - c
Multiplication Property of EqualityIf a = b, then ac = bc
Division Property of EqualityIf a = b and c does not equal 0, then a divided by c = b divided by c
Reflexive Property of EqualityFor any real number a, a = a
Symmetric Property of EqualityIf a = b, then b = a
Tansitive Property of EqualityIf a = b and = c, then a = c
Substitution Property of EqualityIf a = b, then a can be substituted for b in any equation or expression


Knight High School

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