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 :)

- adajiamcneal

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- adajiamcneal

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- adajiamcneal

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

- perl

so you did step 1,2,3,4

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## More answers

- adajiamcneal

yes and then i answered #1

- 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.

- perl

|dw:1432845291131:dw|

- perl

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

- perl

and then measuring that perpindicular line segment

- adajiamcneal

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

- adajiamcneal

i have no idea what you are talking about

- perl

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

- 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

- perl

suppose you start with a point P and a line m

- adajiamcneal

ok

- perl

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

- perl

|dw:1432845680701:dw|

- perl

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

- adajiamcneal

no

- perl

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

- perl

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

- perl

|dw:1432845856627:dw|

- perl

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

- perl

|dw:1432845922979:dw|

- perl

now the distance between point P and line m is the length of PT

- adajiamcneal

wait...im suppose to do this in a circle. so heres my drawing which lines would be p and m|dw:1432845934490:dw|

- perl

|dw:1432845994103:dw|

- adajiamcneal

ok that makes more sence

- adajiamcneal

to which m ? or am i connecting them with the perpendicular through P?

- perl

i think you should look at each one separately

- adajiamcneal

ok

- perl

remember in the steps, we set the compass from the center to each radius, and marked off a congruent distance

- adajiamcneal

yeah

- perl

|dw:1432846265885:dw|

- perl

and we are folding a line that is perpindicular to the radius, so we can draw that right angle in

- perl

|dw:1432846322550:dw|

- perl

let's label the other chord a different letter, so we don't get confused

- perl

|dw:1432846357083:dw|

- perl

so it follows that the distance from P to chord n is `a`, and the distance from point P to chord m is `a`

- adajiamcneal

so is that what i write for #2 or im so confused on how to measure the distance

- perl

website is extremely laggy for me

- adajiamcneal

its ok i can email you if thats easier

- adajiamcneal

ill send it through messages

- adajiamcneal

thats what i meant haha

- phi

Yes, they want you to measure the distance from the center of the circle to the chord with a ruler.
You should get the same distance for both chords.
then they want you to measure the length of each chord.
(they should be the same length)
then you are supposed to guess that
"if chords are the *same* distance from the center of a circle, then those chords will have the same length... i.e. be congruent"

- perl

|dw:1432847928094:dw|

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