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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?
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|
"perpendicular" means we have a 90 degree angle |dw:1438221568512:dw| and all right angles are congruent
|dw:1438221591388:dw| what can you tell me about triangle ADC and triangle BDC ?
well my drawing is a bit off, so don't base everything on that
is segment AD congruent to segment DB ?
how about angle ADC and angle BDC are they congruent?
both are 90 degrees, yes
and certainly DC is congruent to itself, ie DC = DC (reflexive property)
so we can use the SAS property of congruence to say that triangle ADC = triangle BDC
finally using CPCTC http://www.mathwarehouse.com/geometry/congruent_triangles/congruent-parts-CPCTC.php we can show that AC = BC |dw:1438221961389:dw|
all of this is basically saying "C is the same distance away from either A or B"
what do you have so far for the paragraph
does my explanation make sense?
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
show me what you have so far
i cant fom anything
what information is given in the problem
yes I see that, but I want to have you write it out in words
that's usually where proofs start from: the information given
"angle 4 is congruent to angle 6" we don't know that yet as it's not given
"line t is a perpendicular bisector" to what?
other than line t, what other segment is shown?
so the given information is "line t is a perpendicular bisector of segment AB"
That's where I would start the proof
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" ?
they actually are. Scroll up to remember why
why is angle 4 congruent to angle 6 ?
which is what?
no, 90 degrees
perpendicular ----> 90 degrees
perpendicular ----> right angle ----> 90 degrees
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
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.
yeah it should all be here. Try giving it a shot in terms of writing it
yeah so far so good. Try to rewrite in terms of how you would say it