postulates Flashcards

1
Q

segment addition postulate

A

if B is between A and C then AB+ BC = AC. if AB + BC = AC then B is between A and C

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2
Q

Angle addition postulate

A

if P is in the interior of RST the the sum of RSP and PST equal RST

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3
Q

two point postulate

A

through any two point there exist exactly one line

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4
Q

line point postulate

A

a line contains at least two points

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5
Q

line intersection postulate

A

if two lines intersect then their intersection is exactly one point

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6
Q

three point postulate

A

through any three non collinear points there exist exactly one plane

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7
Q

plane point postulate

A

a plane contains at least three non collinear points.

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8
Q

plane line postulate

A

if two points lie in a plane then the line containing them lies in the plane.

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9
Q

plane intersection postulate

A

if two planes intersect then their intersection is a line.

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10
Q

linear pair postulate

A

if two angles form a linear pair then they are supplementary

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11
Q

parallel postulate

A

if there is a line and a point not on the line then there is exactly one line through the point parallel to the given lines

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12
Q

perpendicular postulate

A

if there is a line and a point not on the line then there is exactly one line through the point perpendicular to the given line

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13
Q

translation postulate

A

a translation is a rigid motion

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14
Q

reflection postulate

A

a reflection is a rigid motion

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15
Q

rotation postulate

A

a rotation is a rigid motion

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