Postulates / Theorems

ejochym
Flashcards by ejochym, updated more than 1 year ago
ejochym
Created by ejochym over 7 years ago
148
1

Description

Geometry Flashcards on Postulates / Theorems, created by ejochym on 10/03/2013.

Resource summary

Question Answer
Postulate 1-1-1 Through any two points there is exactly one line. Postulate.
Postulate 1-1-2 Through any three non-collinear points there is exactly one plane containing them. Postulate.
Postulate 1-1-3 If two points lie in a plane, then the line containing those points lies in the plane. Postulate.
Postulate 1-1-4 If two lines intersect, then they intersect in exactly one point. Postulate.
Postulate 1-1-5 If two planes intersect, then they intersect in exactly one line. Postulate.
Postulate 1-2-1 Rule Postulate The points on a line can be put into a one-to-one correspondence with the real numbers.
Postulate 1-2-2 Segment Addition Postulate If B is between A ad C, then AB + BC = AC
Postulate 1-3-1 Protractor Postulate Give 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.
Postulate 1-3-2 Angle Addition Postulate If S is in the interior of <PQR then m<PQS+m<SQR=m<PQR
Theorem 1-6-1 Pythagorean Theorem In 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
Theorem 2-6-1 Linear Pair Theorem If two angles for a linear pair, then they are supplementary.
Theorem 2-6-2 Congruent Supplements Theorem If two angles are supplementary to the same angle (or to two congruence angels), then the two angles are congruent.
Theorem 2-6-3 Right Angle Congruence Theorem All right angles are congruent.
Theorem 2-6-4 Congruent Complements Theorem If two angles are complementary to the same angles (or to two congruent angles), then the two angles are congruent.
Theorem 2-7-2 Vertical Angles Theorem Vertical Angles are congruent.
Postulate 3-2-1 Corresponding Angles Postulate If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
Theorem 3-2-2 Alternate Interior Angles Theorem If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
Theorem 3-2-3 Alternate Exterior Angles Theorem If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent.
Theorem 3-2-4 Same-Side Interior Angle Theorem If two parallel lines are cut by a transversal, then the pairs of same-side interior angles are supplementary.
Postulate 3-3-1 Converse of the Corresponding Angles Postulate If two coplanar lines are cut by a transversal so that a pair of corresponding angles are congruent, then the two line are parallel.
Postulate 3-2-2 Parallel Postulate Through a point P not on line l, there is exactly one line parallel to l.
Theorem 3-3-3 Converse of the Alternate Interior Angles Theorem If two coplanar lines are cut by a transversal so that a pair of alternate interior angles are congruent, then the two line are parallel.
Theorem 3-3-4 Converse of the Alternate Exterior Angles Theorem If two coplanar lines are cut by a transversal so that a pair of alternate exterior angles are congruent, then the two line are parallel.
Theorem 3-3-5 Converse of the Same-Side Interior Angles Theorem If 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.
Show full summary Hide full summary

Similar

GCSE Maths: Geometry & Measures
Andrea Leyden
Geometry Formulas
Selam H
GCSE Maths: Understanding Pythagoras' Theorem
Micheal Heffernan
Pythagorean Theorem Quiz
Selam H
Geometry Theorems
PatrickNoonan
Geometry Vocabulary
patticlj
Algebraic & Geometric Proofs
Selam H
Geometry Quality Core
Niat Habtemariam
Perimeter Check-up
whitbyd
SAT Math Level 1 overview
Jamicia Green
Circle vocab - IB SL Math
j. stu