Question

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

Answer 1

Just need some assistance..please!

Answer 2

congruent means "equal to" or equivalent

Answer 3

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

Answer 4

Yes. I know that,

Answer 5

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

Answer 6

Well its not an equation. They are just line segments

Answer 7

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

Answer 8

since, PS is bisector, AS=CS

Answer 9

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

Answer 10

Yes, i have that segment down already. @hartnn

Answer 11

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

Answer 12

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

Answer 13

Ok! Thats what i thought!

Answer 14

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

Answer 15

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

Answer 16

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

Answer 17

*BT is one of the leg.

Answer 18

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

Answer 19

If attached to Point P

Answer 20

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

Answer 21

*pairs

Answer 22

Would PS be one?

Answer 23

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

Answer 24

RA=RB
SA=SC
TB=TC

Answer 25

But they have to be congruent to BP

Answer 26

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.

Answer 27

Oh..

Answer 28

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

Answer 29

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

Answer 30

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

Answer 31

*doesn't

Answer 32

Awh man!

Answer 33

so its only CP and AP?

Answer 34

yes...

Answer 35

=BP

Answer 36

ok! THANKS!!!! :)

Answer 37

welcome ^_^