Karteikarten
Postulates / Theorems
Karten in diesem Stapel (24)
- 1Postulate 1-1-1 Through any two points there is exactly one line.Postulate.
- 2Postulate 1-1-2 Through any three non-collinear points there is exactly one plane containing them.Postulate.
- 3Postulate 1-1-3 If two points lie in a plane, then the line containing those points lies in the plane.Postulate.
- 4Postulate 1-1-4 If two lines intersect, then they intersect in exactly one point.Postulate.
- 5Postulate 1-1-5 If two planes intersect, then they intersect in exactly one line.Postulate.
- 6Postulate 1-2-1 Rule PostulateThe points on a line can be put into a one-to-one correspondence with the real numbers.
- 7Postulate 1-2-2 Segment Addition PostulateIf B is between A ad C, then AB + BC = AC
- 8Postulate 1-3-1 Protractor PostulateGive Line AB and a point O on line AB, all rays that can be drawn form O can be put into a one-to-one correspondence with the real numbers form 0-180.
- 9Postulate 1-3-2 Angle Addition PostulateIf S is in the interior of
- 10Theorem 1-6-1 Pythagorean TheoremIn a right triangle, the sum of the squares of the length of the legs is equal to the square of the length of the hypotenuse.
a^2+b^2=c^2 - 11Theorem 2-6-1 Linear Pair TheoremIf two angles for a linear pair, then they are supplementary.
- 12Theorem 2-6-2 Congruent Supplements TheoremIf two angles are supplementary to the same angle (or to two congruence angels), then the two angles are congruent.
- 13Theorem 2-6-3 Right Angle Congruence TheoremAll right angles are congruent.
- 14Theorem 2-6-4 Congruent Complements TheoremIf two angles are complementary to the same angles (or to two congruent angles), then the two angles are congruent.
- 15Theorem 2-7-2 Vertical Angles TheoremVertical Angles are congruent.
- 16Postulate 3-2-1 Corresponding Angles PostulateIf two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
- 17Theorem 3-2-2 Alternate Interior Angles TheoremIf two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
- 18Theorem 3-2-3 Alternate Exterior Angles TheoremIf two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent.
- 19Theorem 3-2-4 Same-Side Interior Angle TheoremIf two parallel lines are cut by a transversal, then the pairs of same-side interior angles are supplementary.
- 20Postulate 3-3-1 Converse of the Corresponding Angles PostulateIf two coplanar lines are cut by a transversal so that a pair of corresponding angles are congruent, then the two line are parallel.
- 21Postulate 3-2-2 Parallel PostulateThrough a point P not on line l, there is exactly one line parallel to l.
- 22Theorem 3-3-3 Converse of the Alternate Interior Angles TheoremIf two coplanar lines are cut by a transversal so that a pair of alternate interior angles are congruent, then the two line are parallel.
- 23Theorem 3-3-4 Converse of the Alternate Exterior Angles TheoremIf two coplanar lines are cut by a transversal so that a pair of alternate exterior angles are congruent, then the two line are parallel.
- 24Theorem 3-3-5 Converse of the Same-Side Interior Angles TheoremIf two coplanar lines are cut by a transversal so that a pair of same-side interior angles are supplementary, then the two line are parallel.
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- Geometry Karteikarten am Postulates / Theorems, erstellt von ejochym am 03/10/2013.
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- ejochym
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