Question | Answer |
2 points postulate | Through any two points there is exactly one line |
Intersection of lines postulate | If 2 distict lines interset, then they intersect in exactly one point |
Intersection of planes postulate | If two distinct planes intersect then they will intersect in only 1 line |
Points in a plane postulate | Through any 3 noncollinear point there is exactly one plane |
Ruler Postulate | Every point on a line can be paired with one real number |
Segment Addition Postulate | If theree ponts A, B, C are collinear and B is between A and C then AB+BC=AC |
Protractor Postulate | Every numbder on the protractor can be paired with 1 real number |
Angle Addition Postulate | If point B is the interior of AOC then m |
Linear Pair Postulate | If 2 adjacent angles form a straight line they are supplementry |
Addition property of equality | add the same value to each side |
Subtraction Property of equality | Subtract the same value to each side |
Multiplication Property of equality | Multiply the same value to each side |
Divison property of equality | Divide the same value to each side |
Reflextive property of equality | a=a b=b 5=5 55=55 |
Symetric property of equality | a= b and b=a
fun= math and math=fun |
Transtive property of equality | If 5x-9=10y and 10y=7x-9 then 5x-9=10y |
Subsitution property of equality | 7x=21
x=3
7*3=21 |
Reflextie property of congruence | --- ---
AB AB |
Transtive property fo congruence | if RA congruent to PU and YU congruent to YU then RA congruent to YU |
Symetric property of congruence | DO congruent to AT and AT congruent to DO |
Symetric Property of congruent angles | angle A is congruent to angle B
angle B is congruent to angle A |
Reflextive Property of congruent angles | angle A is congruent to angle A |
Transtive property of congruent angles | If angle A is Congruent to angle B
And angle B is congruent to angle C
Then angle A is congruent to angle C |
Defo of segment congruence | Congruent segments have equal measures |
Defo of supplementry | Suplmentry angles add up to 180 |
Defo of a bisector | A ray that divides an angle into 2 congruent angles |
Converse of defo of segment congruence | Segments with the same measure are congruent |
Distributive property of equality | 3(2x-4)= 6x-12 |
Segment Bisector | Is what you use to divide the line |
Vetrical angles theorm | Vertical angles are congruent |
Congruent supplements theorm | If 2 angles are supplements of the same angle (add up to 180) thenthey are congruent |
Congruent complements theorm | If 2 angles are complements of the same angle (add up to 90)the 2 angles are congruent |
Theorm (discussing right angles) | All right angles are congruent |
Corresponding angles postulate | If a transversal intersects 2 parellel lines than corresponing angles are congruent |
Alternate inteior angles theorm | If a transversal intersects 2 parellel lines than alternate interior angles are congruent |
Same side angles theorm | If a transversal intersects 2 parelled lines then same side interior angles are supplmentry |
Defo of complementry | Complementry angles add up to 90 |
Converse of the defo of supplementry | If angles add up to 180 then they are supplementry |
Alternate exterior angles theorm | If a transversal intersects two parellel lines than the two alternate exterior angles are congruent |
Converse of Corresponding Angles Postulate | If two lines form corresponding angles that are congruent then the two lines are parellel |
Converse of Alternate Interior Angle Theorm | If two angles form an alternate interior angle then the lines are parellel |
Converse of Same Side Interior Angle Theorm | If 2 angles form same side interior angles that are supplementry the lines are parellel |
Converse of Alternate Exterior Angles Theorm | Alternate Exterior angles that are congruent then the two lines are parellel |
Perpindicular Tranversal Theorm | In a plane, if a line is perpendicular to one or two parellel lines then it is also perpendicular to the other line |
Parellel Postulate | Through any point on a line there is only one line parellel to the given line |
Theorm | If two lines are parellel to the same line they are parellel to each other |
Theorm | If two lines are perpindicular to the same line then they are parellel to each other |
Theorm | In a plane if two lines are perpindicular to the same line then they are parellel |
Triangle angle-sum theorm | The sum of the measures of the angles of a triangle is 180 |