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Math Test 2 Kilgore

Math Test 2

QuestionAnswer
If p->q is a true statemen, and p is true, then q is true Law of Detachment
If p->q and q->r are true statements, then p->r is a true statement Law of Syllogism
Through any two points, there is exactly one line. Postulate 2.1 (
Through any three noncollinear points, there is exactly one plane. Postulate 2.2
A line contains at least two points. Postulate 2.3
A plane contains at least three noncollinear points Postulate 2.4
If two points lie in a plane, the entire line containing those points lies in that plane Postulate 2.5
If two line intersect, then their intersection is exactly one point. Postulate 2.6
If two planes intersect, then their intersection is a line. Poatulate 2.7
If M is the midpoint of AB, then AM=MB Midpoint Theorem (Theorem 2.1)
If a=b, then a+c=b+c Addition Property of Equality
If a=b, then a-c=b-c Subtraction Property of Equality
If a=b, then a*c=b*c Multiplication Property of Equality
If a=b and c does not equal 0, then a/c=b/c Division Property of Equality
a=a Reflexive Property of Equality
If a=b, then b=a Symmetric Property of Equality
If a=b and b=c, then a=c Transitive Propety of Equality
If a=b, then a may be replaced by b in any expression or equation Substitution Property of Equality
a(b+c)= ab+ ac Distributive Property
The points on an line or line segment can be put into one-to-one correspondance with real numbers Postulate 2.8 (ruler)
If a b and c are collinear, then point b is between a and c if and only if ab+ac=ac Postulate 2.9 (segment addition postulate)
AB~=AB Relfexive Property of Congruence (Theorem 2.2: Properties of Segment Congruence)
If AB~=CD, then CD~=AB Symmetric Property of Congruence (Theorem 2.2: Properties of Segment Congruence)
IF AB~=CD, and CD~=EF, then AB~=EF Transitive Property of Congruence (Theorem 2.2: Properties of Segment Congruence)
Given any angle, the measure can be put into one-to-one correspondance with real numbers between 0 and 180. Postulate 2.10 (protractor)
D is in the interior of ABC if and only if m Postulate 2.11 (angle addition)
If two angles form a linear pair, then they are supplementary angles Supplement Theorem (Theorem 2.3)
If the noncommon sides of any two adjacent angles form a right angle, then then the angles are complementary angles Complement Theorem (Theorem 2.4)
<1~=<1 Reflexive Property of Congruence (Theorem 2.5: Properties of Angle Congruence
If <1~= <2, then <2~=<1 Symmetric Property of Congruence (Theorem 2.5: Properties of Angle Congruence
If <1~=<2 and <2~=<3, then <1~=<3 Transitive Property of Congruence (Theorem 2.5: Properties of Angle Congruence
Angles supplementary to the same angle or to congruent angles are congruent Congruent Supplements Theorem (Theorem 2.6)
Angles complementary to the same angle or to congruent angles are congruent. Congruent Complements Theorem (Theorem 2.7)
If two angles are vertical angles, then they are congruent . Vertical Angles Theorem (Theorem 2.8)
Perpendicular lines intersect to form four right angles. Theorem 2.9
All right angles are congruent. Theorem 2.10
Perpendicular lines form congruent adjacent angles. Theorem 2.11
If two angles are congruent and supplementary, then each angle is a right angle Theorem 2.12
If two congruent angles form a linear pair, then they are right anlges Theorem 2.13
Created by: august_random