salmamontero1998
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Ethan is proving that the slope between any two points on a straight line is the same. He has already proved that triangles 11 and 22 are similar.

Drag statements and reasons to complete the proof.

Ethan is proving that the slope between any two points on a straight line is the same He has already proved that triangles 11 and 22 are similar Drag statements class=

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Answer:

Slope from P to Q = F/E ------ Definition of a Slope

Slope from Q to R = F1/E1 ------ Definition of a Slope

F1/ E1 = F/E ---------------- Triangle 1 is similar to triangle 2

+25 on the TTM

Step-by-step explanation:

MrRoyal

Points on the same line have the same slope.

The complete proof is:

  • [tex]\mathbf{Slope\ from\ P\ to\ Q\ = \frac{F}{E}}[/tex] ------ Definition of a Slope
  • [tex]\mathbf{Slope\ from\ Q\ to\ R\ = \frac{F'}{E'}}[/tex] ------ Definition of a Slope
  • [tex]\mathbf{\frac{F'}{E'}= \frac{F}{E}}[/tex] ---------------- Triangle 1 is similar to triangle 2

The first blank implies that, we give the definition of slope, based on the given parameters.

This means that, we complete the blank with the formula of slope.

So, the first blank will be completed with:

[tex]\mathbf{Slope\ from\ P\ to\ Q\ = \frac{F}{E}}[/tex]

The statement on line 2 represents the definition of slope.

So, the blank will be completed with: definition of slope,

If both triangles are similar, then they have the same slope.

Hence, the third blank is: [tex]\mathbf{\frac{F'}{E'}= \frac{F}{E}}[/tex]

Read more about slopes at:

https://brainly.com/question/3605446

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