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Geo test study
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| 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 |