Question 1
Which of the following statements is NOT true?
The ratios of the rise to
the run for the triangles
are equivalent
У.
The slope of Āč is ž
2.
B В
-2
-A
The slope of AB is
different than the
slope of BC.
AB has the same slope
as AC.

Answer:

Option (C)

Step-by-step explanation:

Option (A)

Rise-run ratio from the smaller triangle = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                                                                 = [tex]\frac{2}{3}[/tex]

Rise-run ratio from the large triangle = [tex]\frac{4}{6}[/tex]

                                                             = [tex]\frac{2}{3}[/tex]

[tex]\frac{2}{3}=\frac{2}{3}[/tex]

Therefore, the ratios of the rise to run are equivalent in both the triangles.

True.

Option (B)

Slope the line AC will be same as segments AB and BC which lie on the same line AC.

Slope of AC = [tex]\frac{2}{3}[/tex]

True.

Option (C)

Since, the segments AB and BC are the parts of line AC

Slope of AB = Slope of BC = Slope AC

Therefore, slope of AB and BC can not be the same.

False.

Option (D)

Since, segment AB is a part line AC, slope of both will be same.

True.

Option (C) is not true.  

Answer: The slope of AB is different than the slope of BC

Step-by-step explanation:

That’s the answer

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What is the justification for step 2 in the solution process?

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