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Geo test study

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QuestionAnswer
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