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In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving AC > EF given BC = EF . Upload the entire proof below.

Given:
BC = EF

Prove:
AC > EF

Respuesta :

abidemiokin

According to the question, we are to complete a 2-column proof to show that the measure of BC is equal to EF:

Given the following:

  • BC = EF
  • Let BC = EF = x

AC = AB + BC....................... 1

AC = AB + x ............... 2

From equation 2, AB = AC - x ................. 3

Substitute equation 3 into 1:

AC = AB + BC

AC = AC-x + BC

AC-AC = -c + BC

0 = -x + BC

BC = x

Since AC is greater than AB by a value of x, hence AC > BC

Learn more on two-column proof here: https://brainly.com/question/1788884

Answer:

the answer is

BC = EF

Let BC = EF = x

AC = AB + BC....................... 1

AC = AB + x ............... 2

From equation 2, AB = AC - x ................. 3

Substitute equation 3 into 1:

AC = AB + BC

AC = AC-x + BC

AC-AC = -c + BC

0 = -x + BC

BC = x

Since AC is greater than AB by a value of x, hence AC > BC

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