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Math Test 2 Kilgore
Math Test 2
| Question | Answer |
|---|---|
| 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
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