karatechopper
Circumcenter is the point P. Need to find segments congruent to line segment CS.



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karatechopper
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karatechopper
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Just need some assistance..please!

amistre64
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congruent means "equal to" or equivalent

r0n4ld
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the circumcenter is the point of concurrency of the three perpendicular bisectors (of the segments). The operative word here is bisector.

karatechopper
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Yes. I know that,

amistre64
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cant see the equation underneath so it difficult to see what the trianlge is spose to look like as opposed to its visual shape

karatechopper
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Well its not an equation. They are just line segments

amistre64
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its information pertaining to the shape that would help to define it otherwise it could just as well be an equilateral triangle

hartnn
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since, PS is bisector, AS=CS

r0n4ld
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since P is the circumcenter, it lies in the perpendicular BISECTOR BS

karatechopper
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Yes, i have that segment down already. @hartnn

karatechopper
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I am confused on that. You know i have to find congruent segments right? @r0n4ld

amistre64
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at the moment, that is thhe only line segment that we can be sure of; the rest of the triangle is a mystery

karatechopper
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Ok! Thats what i thought!

karatechopper
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I was confused if there were any more thats why i posted

karatechopper
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I have another question tho. Would line segment BT. be congruent to line segment BP?

hartnn
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not at all, BP is hypotenuse of right triangle, whereas BT is the side.

hartnn
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*BT is one of the leg.

karatechopper
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Yes, but Point P is the circumcenter. So i would think every line segment is congruent.

karatechopper
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If attached to Point P

hartnn
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the 3 perpendicular bisectors will bisect 3 sides only...
so u get 3 pirs of segments equal.

hartnn
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*pairs

karatechopper
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Would PS be one?

hartnn
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nopes, because PS is not a part of a side of triangle.

hartnn
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RA=RB
SA=SC
TB=TC

karatechopper
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But they have to be congruent to BP

hartnn
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there is a property :
The perpendicular bisectors of the sides of a triangle meet at a point which is equidistant from the vertices
so, BP=CP=AP also.

karatechopper
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Oh..

karatechopper
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BUT. P is the middle! So why wouldnt everyone thing attached to the P be congruent?

hartnn
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u really can't say anything about PS,PT,PR

hartnn
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'middle' doen;t mean middle of everything :P

hartnn
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*doesn't

karatechopper
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Awh man!

karatechopper
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so its only CP and AP?

hartnn
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yes...

hartnn
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=BP

karatechopper
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ok! THANKS!!!! :)

hartnn
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welcome ^_^