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Mathematics 22 Online
OpenStudy (adajiamcneal):

Hi guys i need help with a mini project (geometry)please help. Ill throw in a fann+testimonial+and medal for the first help me completely thanks :)

OpenStudy (adajiamcneal):

OpenStudy (adajiamcneal):

@perl i already drew the picture and i did #1 i just dont understand the rest

OpenStudy (perl):

so you did step 1,2,3,4

OpenStudy (adajiamcneal):

yes and then i answered #1

OpenStudy (perl):

The distance from a point to a line is the length of the line segment which joins the point to the line and is perpendicular to the line.

OpenStudy (perl):

|dw:1432845291131:dw|

OpenStudy (perl):

so you measure distance from a point to a given line by drawing a perpendicular to the given line through the point

OpenStudy (perl):

and then measuring that perpindicular line segment

OpenStudy (adajiamcneal):

wait ok so by measuring do you mean like with a ruler or do i measure it with the degrees thing?

OpenStudy (adajiamcneal):

i have no idea what you are talking about

OpenStudy (perl):

what i described is the definition of the distance from a point to a line, geometrically

OpenStudy (adajiamcneal):

ok but in order to measure it what would i do? because i dont get what your saying... im not very good at this stuff

OpenStudy (perl):

suppose you start with a point P and a line m

OpenStudy (adajiamcneal):

ok

OpenStudy (perl):

and you want to find the distance between P and line m

OpenStudy (perl):

|dw:1432845680701:dw|

OpenStudy (perl):

Is the distance between P and line m the length of this line segment? |dw:1432845743500:dw|

OpenStudy (adajiamcneal):

no

OpenStudy (perl):

no, because the distance between a point P and line m is defined as the *shortest* distance between the point and the line.

OpenStudy (perl):

and we can find the *shortest* distance by the following construction. draw a perpendicular to line m through P

OpenStudy (perl):

|dw:1432845856627:dw|

OpenStudy (perl):

lets call the point where the perpendicular line meets line m , call it T

OpenStudy (perl):

|dw:1432845922979:dw|

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