Geometry Chapter 2 Postulates and Theorems
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25 terms
English | Math / Symbols |
|---|---|
 Through any two points, there is exactly.......? | Through any two points, there is exactly one line. |
| Through any three non-collinear points, there........? | Through any three noncollinear points, there is exactly one plane |
| A line contains at least.........? | A line contains at least two points |
| A plane contains at least..................? | A plane contains at least three non-collinear points |
| If two points lie in a plane, then the entire line containing those points..............? | If two points lie in a plane, then the entire line containing those points lies in that plane |
| If two lines intersect, then their intersection is............? | If two lines intersect, then their intersection is exactly one point |
| Ruler Postulate | The points on any line or line segment can be put into one-to-one correspondence with a real number; or a line have one point on zero and the other point on any real number greater than zero |
| Segment Addition Postulate | If A, B, and C are collinear, then point B is between A and C if and only if AB+BC=AC |
| Protractor Postulate | Given any angle, the measure can be put into one-to-one correspondence with real numbers between 0 to 180 |
| Angle Addition Postulate | ∠D is the interior of angle ABC if and only if m∠ABD + m∠DBC = m∠ABC |
| Midpoint Theorem | if M is the midpoint of AB, then AM=MB, If M is the midpoint of segment AB, then segment AM is congruent to segment MB. |
| Reflexive Property of Congruence | AB=AB |
| Symmetry Property of Congruence | If AB=CD, then CD=AB |
| Transitive property of Congruence | If AB ≅ CD and CD ≅ EF, then AB ≅ EF. |
| Supplement theorem | if two angles form a linear pair, then they are supplementary angles. |
| Complement Theorem | if the noncommon sides of two adjacent angles form a right angle, then the angles are complementary angles. |
| Congruent Supplements Theorem | Angles Supplementary to the same or congruent angles are congruent |
| Congruent Complements Theorem | Angles complementary to the same angle or to congruent angles are congruent |
| Congruent Complements Theorem | Angles complementary to the same angle or to congruent angles are congruent |
| Vertical Angles Theorem | Perpendicular angles form four right angles |
| Perpendicular lines intersect to form.......? | Perpendicular lines intersect to form congruent adjacent angles |
| All right angles are.......? | All right angles are congruent |
| Perpendicular lines form.........? | Perpendicular lines form congruent adjacent angles |
| If two angles are congruent and supplementary, then each..........? | If two angles are congruent and supplementary, then each angle is a right angle. |
| If two congruent angles form a linear pair, then they are.......? | If two congruent angles form a linear pair, then they are right angles |
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