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- YanaSidlinskiy

Hey! Welcome to OpenStudy!! We're glad to have you here as a user! What question do you have so I could help you out more?

- dan815

|dw:1438220684816:dw|

- jim_thompson5910

|dw:1438221440750:dw|

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## More answers

- jim_thompson5910

line t is a perpendicular bisector of segment AB
"bisect" means to cut in half, so AB is cut in half. Into two congruent pieces
|dw:1438221542735:dw|

- jim_thompson5910

"perpendicular" means we have a 90 degree angle
|dw:1438221568512:dw|
and all right angles are congruent

- jim_thompson5910

|dw:1438221591388:dw|
what can you tell me about triangle ADC and triangle BDC ?

- jim_thompson5910

well my drawing is a bit off, so don't base everything on that

- jim_thompson5910

is segment AD congruent to segment DB ?

- jim_thompson5910

how about angle ADC and angle BDC
are they congruent?

- jim_thompson5910

both are 90 degrees, yes

- jim_thompson5910

and certainly DC is congruent to itself, ie DC = DC (reflexive property)

- jim_thompson5910

so we can use the SAS property of congruence to say that
triangle ADC = triangle BDC

- jim_thompson5910

finally using CPCTC
http://www.mathwarehouse.com/geometry/congruent_triangles/congruent-parts-CPCTC.php
we can show that AC = BC
|dw:1438221961389:dw|

- jim_thompson5910

all of this is basically saying "C is the same distance away from either A or B"

- jim_thompson5910

what do you have so far for the paragraph

- jim_thompson5910

does my explanation make sense?

- jim_thompson5910

so try to write a paragraph based on what was explained above. Write out a rough draft and I'll help you work on the paragraph

- jim_thompson5910

show me what you have so far

- anonymous

i cant fom anything

- jim_thompson5910

what information is given in the problem

- jim_thompson5910

yes I see that, but I want to have you write it out in words

- jim_thompson5910

that's usually where proofs start from: the information given

- jim_thompson5910

"angle 4 is congruent to angle 6" we don't know that yet as it's not given

- jim_thompson5910

"line t is a perpendicular bisector" to what?

- jim_thompson5910

other than line t, what other segment is shown?

- jim_thompson5910

segment AB

- jim_thompson5910

so the given information is "line t is a perpendicular bisector of segment AB"

- jim_thompson5910

That's where I would start the proof

- jim_thompson5910

Then we can move onto the next piece you stated: "angle 4 is congruent to angle 6"
how do we know that "angle 4 is congruent to angle 6" ?

- jim_thompson5910

they actually are. Scroll up to remember why

- jim_thompson5910

why is angle 4 congruent to angle 6 ?

- jim_thompson5910

which is what?

- jim_thompson5910

no, 90 degrees

- jim_thompson5910

perpendicular ----> 90 degrees

- jim_thompson5910

perpendicular ----> right angle ----> 90 degrees

- jim_thompson5910

line t is a perpendicular bisector of segment AB
angle 6 = angle 4 because we have 2 right angles. All right angles are congruent since they are 90 degrees

- jim_thompson5910

basically I'm going through the proof I wrote out above. The key is writing it in your own words as if you're explaining it to a teacher, friend, etc.

- jim_thompson5910

yeah it should all be here. Try giving it a shot in terms of writing it

- jim_thompson5910

yeah so far so good. Try to rewrite in terms of how you would say it

- Jaynator495

nope lel

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