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# Bisectors of a Triangle

Section 5.1
by

## Treva Moore

on 23 November 2013

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#### Transcript of Bisectors of a Triangle

Time To
Theorem
Elements
These theorems come from Chapter 5 Section 1.
Question 1:
Bisectors of a Triangle
You are going to answer These questions In the order of Easy then Medium Then Hard... Good luck!! (:

Question 2:
By: Treva Moore
Imarmil Sollet &
Tyler Plante

Calculate the length of DC
Perpendicular bisectors meet at circumcenter,
which is equidistant to the vertices of the
triangle.
Question 3:
a
b
d
c
7x-1
5x+3
15
12
a
b
c
d
f
e
Find the value of JF. Might want to use Pythagorean Theorem.
j
a
d
c
b
David Ortiz would like to know how much he has to run to get from first base to second base. To figure this out, we know that CD=BC.
15x-12
8x+16
A perpendicular bisector is a segment or line that bisects
another segment at its midpoint and forms a 90 degree
angle.
This Theorem basically shows you how to write a proof
to prove that certain sides or segments of a triangle are
congruent to another using the definition of equidistant
and the Transitive Property of Equality.
An angle bisector is a line or segment that bisects another segment and forms congruent angles.
Angle bisectors meet at the incenter. A point which is
equidistant to the sides of the triangle.
Definitions for 5.1
perpendicular bisector:
a line or segment that passes through the midpoint of a side and it perpendicular to that side.
concurrent lines:
three or more lines that intersect at one point.
point of concurrency:
the point where concurrent lines meet.
circumcenter:
the point of concurrency where perpendicular bisectors meet.
incenter:
the point of concurrency whee angle bisectors meet.
THE END
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