Use Your Brain!!

**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

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