geometry 2 column proofs

Mathematics
Tutor: None Selected Time limit: 1 Day

Given: The bermuda Triangle.vertices: miami florida, san juan puerto rico, and bermuda, bermuda island. prove use the exact coordinates. (lat, and long) of the vertices and the distance formula to prove that the bermuda triangle is a scalene, isosceles, or equilateral triangle. Only neat, legible 2-column proofs will be accepted. 

May 11th, 2015

Image result for miami florida, san juan puerto rico, and bermuda, bermuda island

  Statements

  Reasons

Step 1

<IKH=<IKJ

Step 1

Given

Step 2

∆HKJ is isosceles

Step 2

Given

Step 3

HK=HJ

Step 3

An isosceles triangle has two congruent sides

Step 4

<HIK=<KIJ

Step 4

Base angles theorem

Step 5

<KHJ=<HJK

Step 5

Base angles theory

Step 6

<IKH=<IKJ

Step 6

Given

Step 7

<IHK=<KJI

Step 7

CPCTC( Corresponding parts of Congruent triangles)

Step 8

HI=IJ

Step 8

SAS(sides opposite base angles of Isosceles triangle are congruent)

Step 9

<IHJ=<HJI

Step 9

ASA(angle side angle theory)



May 11th, 2015

Did you use just any letters for the triangle? Is the triangle isosceles?

May 11th, 2015

yes i used the letters and from the vertices, it is true to state that the triangle is an isoscless one

May 11th, 2015

Did you use the exact coordinates to find the vertices? 

May 11th, 2015

yes, that is the reason I have attached the diagram to serve as a guide to my calculation

May 11th, 2015

I'm sorry, I was just trying to make sure i understood, thank you very much. 

May 11th, 2015

okay welcome:)

May 11th, 2015

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