anonymous
  • anonymous
.
Geometry
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
YanaSidlinskiy
  • 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
  • dan815
|dw:1438220684816:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1438221440750:dw|

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jim_thompson5910
  • 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
  • jim_thompson5910
"perpendicular" means we have a 90 degree angle |dw:1438221568512:dw| and all right angles are congruent
jim_thompson5910
  • jim_thompson5910
|dw:1438221591388:dw| what can you tell me about triangle ADC and triangle BDC ?
jim_thompson5910
  • jim_thompson5910
well my drawing is a bit off, so don't base everything on that
jim_thompson5910
  • jim_thompson5910
is segment AD congruent to segment DB ?
jim_thompson5910
  • jim_thompson5910
how about angle ADC and angle BDC are they congruent?
jim_thompson5910
  • jim_thompson5910
both are 90 degrees, yes
jim_thompson5910
  • jim_thompson5910
and certainly DC is congruent to itself, ie DC = DC (reflexive property)
jim_thompson5910
  • jim_thompson5910
so we can use the SAS property of congruence to say that triangle ADC = triangle BDC
jim_thompson5910
  • 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
  • jim_thompson5910
all of this is basically saying "C is the same distance away from either A or B"
jim_thompson5910
  • jim_thompson5910
what do you have so far for the paragraph
jim_thompson5910
  • jim_thompson5910
does my explanation make sense?
jim_thompson5910
  • 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
  • jim_thompson5910
show me what you have so far
anonymous
  • anonymous
i cant fom anything
jim_thompson5910
  • jim_thompson5910
what information is given in the problem
jim_thompson5910
  • jim_thompson5910
yes I see that, but I want to have you write it out in words
jim_thompson5910
  • jim_thompson5910
that's usually where proofs start from: the information given
jim_thompson5910
  • jim_thompson5910
"angle 4 is congruent to angle 6" we don't know that yet as it's not given
jim_thompson5910
  • jim_thompson5910
"line t is a perpendicular bisector" to what?
jim_thompson5910
  • jim_thompson5910
other than line t, what other segment is shown?
jim_thompson5910
  • jim_thompson5910
segment AB
jim_thompson5910
  • jim_thompson5910
so the given information is "line t is a perpendicular bisector of segment AB"
jim_thompson5910
  • jim_thompson5910
That's where I would start the proof
jim_thompson5910
  • 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
  • jim_thompson5910
they actually are. Scroll up to remember why
jim_thompson5910
  • jim_thompson5910
why is angle 4 congruent to angle 6 ?
jim_thompson5910
  • jim_thompson5910
which is what?
jim_thompson5910
  • jim_thompson5910
no, 90 degrees
jim_thompson5910
  • jim_thompson5910
perpendicular ----> 90 degrees
jim_thompson5910
  • jim_thompson5910
perpendicular ----> right angle ----> 90 degrees
jim_thompson5910
  • 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
  • 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
  • jim_thompson5910
yeah it should all be here. Try giving it a shot in terms of writing it
jim_thompson5910
  • jim_thompson5910
yeah so far so good. Try to rewrite in terms of how you would say it
Jaynator495
  • Jaynator495
nope lel

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